Pith Number

pith:EJXBKH72

pith:2017:EJXBKH72WNEHGVJLAVJNH7ULVM

not attested not anchored not stored refs pending

Abelian Turaev-Virelizier theorem and $U(1)$ BF surgery formulas

F. Thuillier, Ph. Mathieu

arxiv:1706.01845 v1 · 2017-06-06 · 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{EJXBKH72WNEHGVJLAVJNH7ULVM}

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	2026-05-18T00:32:09.692297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

226e151ffab34873552b0552d3fe8bab2625b881c697d49882472092f303760f

Aliases

arxiv: 1706.01845 · arxiv_version: 1706.01845v1 · doi: 10.48550/arxiv.1706.01845 · pith_short_12: EJXBKH72WNEH · pith_short_16: EJXBKH72WNEHGVJL · pith_short_8: EJXBKH72

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/EJXBKH72WNEHGVJLAVJNH7ULVM \
  | 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: 226e151ffab34873552b0552d3fe8bab2625b881c697d49882472092f303760f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2302d94fc351e56a806b0ccbbb976c5d8dbafe81815ecea263c6f40f3c3f9d20",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-06-06T16:29:31Z",
    "title_canon_sha256": "b0d9fbce5369fa14d013512bdc8b7d58a90d1f4099856a8a26ab7b06c3c2c449"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.01845",
    "kind": "arxiv",
    "version": 1
  }
}