Pith Number

pith:UTGBFO4G

pith:2021:UTGBFO4GNBDRXH5LTRCW3WVDPR

not attested not anchored not stored refs pending

Spin-cobordisms, surgeries and fermionic modular bootstrap

Andrea Grigoletto, Pavel Putrov

arxiv:2106.16247 v2 · 2021-06-30 · hep-th · cond-mat.str-el · math-ph · math.AT · math.GT · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UTGBFO4GNBDRXH5LTRCW3WVDPR}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Non-Invertible Duality Defects in 3+1 Dimensions

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Receipt and verification

First computed	2026-07-05T06:36:19.328773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4cc12bb8668471b9fab9c456ddaa37c762a8ba691f0a0bf75a41de85bbde481

Aliases

arxiv: 2106.16247 · arxiv_version: 2106.16247v2 · doi: 10.48550/arxiv.2106.16247 · pith_short_12: UTGBFO4GNBDR · pith_short_16: UTGBFO4GNBDRXH5L · pith_short_8: UTGBFO4G

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/UTGBFO4GNBDRXH5LTRCW3WVDPR \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: a4cc12bb8668471b9fab9c456ddaa37c762a8ba691f0a0bf75a41de85bbde481

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14d31a3f4211719a8a5d10a47858500ab2fadaab6085442bf386a95ddad1cef4",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.AT",
      "math.GT",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-06-30T17:59:39Z",
    "title_canon_sha256": "aa809e65467c8dce8f8c1675c30dbbb044467a0c3173469095a84a7c43d26e7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.16247",
    "kind": "arxiv",
    "version": 2
  }
}