Pith Number

pith:K5PIBT3W

pith:2022:K5PIBT3WGMM5XX65G5Z3C6SGAM

not attested not anchored not stored refs pending

Solitonic symmetry beyond homotopy: Invertibility from bordism and noninvertibility from topological quantum field theory

Shi Chen, Yuya Tanizaki

arxiv:2210.13780 v4 · 2022-10-25 · hep-th · cond-mat.str-el · math-ph · 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{K5PIBT3WGMM5XX65G5Z3C6SGAM}

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

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

Lectures on Generalized Symmetries

ICTP Lectures on (Non-)Invertible Generalized Symmetries

Receipt and verification

First computed	2026-07-05T06:28:56.531093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

575e80cf763319dbdfdd3773b17a46033a5b16f43202e54bee92c14c1912dc73

Aliases

arxiv: 2210.13780 · arxiv_version: 2210.13780v4 · doi: 10.48550/arxiv.2210.13780 · pith_short_12: K5PIBT3WGMM5 · pith_short_16: K5PIBT3WGMM5XX65 · pith_short_8: K5PIBT3W

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/K5PIBT3WGMM5XX65G5Z3C6SGAM \
  | 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: 575e80cf763319dbdfdd3773b17a46033a5b16f43202e54bee92c14c1912dc73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322eaa8ed4e002a40dc88b888f0be90d04de30d541465a1623bc34ef6c1d65ec",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2022-10-25T05:55:51Z",
    "title_canon_sha256": "69c9b92096b2699d71d3bf56daa809a2034ea40a7b6a4836c46e2792dad9ce6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.13780",
    "kind": "arxiv",
    "version": 4
  }
}