Pith Number

pith:LLGGMG5Y

pith:2022:LLGGMG5YA7VOXW5TQCJZJOPTCS

not attested not anchored not stored refs pending

The descendants of the 3d-index

Jie Gu, Stavros Garoufalidis, Zhihao Duan

arxiv:2301.00098 v1 · 2022-12-31 · math.GT · hep-th · 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{LLGGMG5YA7VOXW5TQCJZJOPTCS}

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	2026-07-05T05:29:42.652793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5acc661bb807eaebdbb3809394b9f3149e5355ae8cd4abec5c8a750f19778727

Aliases

arxiv: 2301.00098 · arxiv_version: 2301.00098v1 · doi: 10.48550/arxiv.2301.00098 · pith_short_12: LLGGMG5YA7VO · pith_short_16: LLGGMG5YA7VOXW5T · pith_short_8: LLGGMG5Y

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/LLGGMG5YA7VOXW5TQCJZJOPTCS \
  | 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: 5acc661bb807eaebdbb3809394b9f3149e5355ae8cd4abec5c8a750f19778727

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab6d7829c8498a642fc1f31df3bfa36dd8f6c3196216cf4f02d7cea1b25dfe4f",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-12-31T02:34:19Z",
    "title_canon_sha256": "14ef4cc2b3b2424f426cb28a54c56977d44e11e9682293a75c01505276beb3c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.00098",
    "kind": "arxiv",
    "version": 1
  }
}