Pith Number

pith:QEP4O5EN

pith:2025:QEP4O5EN4YW6Z6Z4ZP3LBA3IWL

not attested not anchored not stored refs pending

Two-dimensional topological quantum field theories of rank two over Dedekind domains

Fabian Espinoza, Mee Seong Im, Mikhail Khovanov

arxiv:2502.04502 v2 · 2025-02-06 · math-ph · math.CT · 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{QEP4O5EN4YW6Z6Z4ZP3LBA3IWL}

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	2026-07-05T10:21:29.184870Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

811fc7748de62decfb3ccbf6b08368b2e01e7aecfdcb429199fa8ee704e0507c

Aliases

arxiv: 2502.04502 · arxiv_version: 2502.04502v2 · doi: 10.48550/arxiv.2502.04502 · pith_short_12: QEP4O5EN4YW6 · pith_short_16: QEP4O5EN4YW6Z6Z4 · pith_short_8: QEP4O5EN

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/QEP4O5EN4YW6Z6Z4ZP3LBA3IWL \
  | 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: 811fc7748de62decfb3ccbf6b08368b2e01e7aecfdcb429199fa8ee704e0507c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f6e58539652494f944e9fe43cf48b6d2c4df1b6b505ca1a3520aa1009491f02",
    "cross_cats_sorted": [
      "math.CT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-02-06T21:00:31Z",
    "title_canon_sha256": "52edf26735a47f405f6fee06b6c48598f3d68dfec345508376ee373c908a85ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.04502",
    "kind": "arxiv",
    "version": 2
  }
}