Pith Number

pith:RA7EM7LG

pith:2010:RA7EM7LGKIRTJME667ESQRNTKB

not attested not anchored not stored refs pending

Turaev-Viro invariants as an extended TQFT III

Benjamin Balsam

arxiv:1012.0560 v2 · 2010-12-02 · 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{RA7EM7LGKIRTJME667ESQRNTKB}

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	2026-05-18T04:14:29.361076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

883e467d66522334b09ef7c92845b3506bf1a143d37bb77ec3a12b046485a600

Aliases

arxiv: 1012.0560 · arxiv_version: 1012.0560v2 · doi: 10.48550/arxiv.1012.0560 · pith_short_12: RA7EM7LGKIRT · pith_short_16: RA7EM7LGKIRTJME6 · pith_short_8: RA7EM7LG

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/RA7EM7LGKIRTJME667ESQRNTKB \
  | 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: 883e467d66522334b09ef7c92845b3506bf1a143d37bb77ec3a12b046485a600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef88153178275578e115476aeff60f1b8354504887adf2f5519a33fdaa331ba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-02T20:37:11Z",
    "title_canon_sha256": "abc0494f6f1623c58c4c3db69f0f5eec9a7d7dfd63d371e898f27af1d72ba673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0560",
    "kind": "arxiv",
    "version": 2
  }
}