Pith Number

pith:VDLHDNLH

pith:2012:VDLHDNLHZ4TLTIUIHNHIYWO75T

not attested not anchored not stored refs pending

On the Turaev-Viro endomorphism, and the colored Jones polynomial

Patrick M. Gilmer, Xuanting Cai

arxiv:1202.1815 v3 · 2012-02-08 · math.GT · 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{VDLHDNLHZ4TLTIUIHNHIYWO75T}

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	2026-05-18T01:24:04.687216Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8d671b567cf26b9a2883b4e8c59dfecfc92172a261c641fcebc49b4d06187d5

Aliases

arxiv: 1202.1815 · arxiv_version: 1202.1815v3 · doi: 10.48550/arxiv.1202.1815 · pith_short_12: VDLHDNLHZ4TL · pith_short_16: VDLHDNLHZ4TLTIUI · pith_short_8: VDLHDNLH

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/VDLHDNLHZ4TLTIUIHNHIYWO75T \
  | 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: a8d671b567cf26b9a2883b4e8c59dfecfc92172a261c641fcebc49b4d06187d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ad21b8c24add44e65a1305f4b524a4ccecb8a44a1330bc8fc72904a36749d6c",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-08T20:51:23Z",
    "title_canon_sha256": "108ec97096c91b04456037b9b633d33e4fb2a91b1b19efff3a6496a6b07ce23d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1815",
    "kind": "arxiv",
    "version": 3
  }
}