Pith Number

pith:4XLIIOJD

pith:2021:4XLIIOJDEBTCIMKR7I5NO3TXRF

not attested not anchored not stored refs pending

Phase transitions in GLSMs and defects

Daniel Roggenkamp, Fabian Klos, Ilka Brunner

arxiv:2101.12315 v1 · 2021-01-28 · hep-th · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XLIIOJDEBTCIMKR7I5NO3TXRF}

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.

Receipt and verification

First computed	2026-07-05T02:41:13.442469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d68439232066243151fa3ad76e77896f2a965cd3ed7e174d8283128afb936d

Aliases

arxiv: 2101.12315 · arxiv_version: 2101.12315v1 · doi: 10.48550/arxiv.2101.12315 · pith_short_12: 4XLIIOJDEBTC · pith_short_16: 4XLIIOJDEBTCIMKR · pith_short_8: 4XLIIOJD

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/4XLIIOJDEBTCIMKR7I5NO3TXRF \
  | 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: e5d68439232066243151fa3ad76e77896f2a965cd3ed7e174d8283128afb936d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "181f2822f44c939911c33050ae99a4524de0ec68cb62ec61a1d34a8dc6218a05",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-01-28T23:04:03Z",
    "title_canon_sha256": "95cbdb9f2a631244df6eb77c48031602fe44ab13f22d6d49c783da2324492e8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.12315",
    "kind": "arxiv",
    "version": 1
  }
}