Pith Number

pith:GLMVI7TZ

pith:2011:GLMVI7TZBXJ4AZXG57EVG2BM3Y

not attested not anchored not stored refs pending

The Kashaev and quantum hyperbolic link invariants

Riccardo Benedetti, Stephane Baseilhac

arxiv:1101.1851 v1 · 2011-01-10 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GLMVI7TZBXJ4AZXG57EVG2BM3Y}

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	2026-05-18T02:22:59.315179Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32d9547e790dd3c066e6efc953682cde15ab948df4c32a5b695bdfcbe06ac6dd

Aliases

arxiv: 1101.1851 · arxiv_version: 1101.1851v1 · doi: 10.48550/arxiv.1101.1851 · pith_short_12: GLMVI7TZBXJ4 · pith_short_16: GLMVI7TZBXJ4AZXG · pith_short_8: GLMVI7TZ

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/GLMVI7TZBXJ4AZXG57EVG2BM3Y \
  | 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: 32d9547e790dd3c066e6efc953682cde15ab948df4c32a5b695bdfcbe06ac6dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f3396443341333747dbbbf8c9683601de5b4ab8572521dea12887d4799f174c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-10T15:41:10Z",
    "title_canon_sha256": "15155a7a2165d79dbed47766bebc41ed53ad093d12dfb3526a975bfda53ce125"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1851",
    "kind": "arxiv",
    "version": 1
  }
}