Pith Number

pith:N644LSTX

pith:2010:N644LSTXNC2USLZI54FZI5N5G3

not attested not anchored not stored refs pending

Quantum invariants of random 3-manifolds

Helen Wong, Nathan M. Dunfield

arxiv:1009.1653 v2 · 2010-09-08 · 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{N644LSTXNC2USLZI54FZI5N5G3}

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	2026-05-18T02:41:50.756111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6fb9c5ca7768b5492f28ef0b9475bd36f510224c3aafbed28d3de8c4a979e6ff

Aliases

arxiv: 1009.1653 · arxiv_version: 1009.1653v2 · doi: 10.48550/arxiv.1009.1653 · pith_short_12: N644LSTXNC2U · pith_short_16: N644LSTXNC2USLZI · pith_short_8: N644LSTX

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/N644LSTXNC2USLZI54FZI5N5G3 \
  | 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: 6fb9c5ca7768b5492f28ef0b9475bd36f510224c3aafbed28d3de8c4a979e6ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45a19ea422733a2f08a0d1e69d74077b436e41ef973ec30aac9c658092b4bd04",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-09-08T21:17:38Z",
    "title_canon_sha256": "a21223760cfd736dcd8d47783d1d3e5bea9befd742614c89bdc23e3f2bd73628"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1653",
    "kind": "arxiv",
    "version": 2
  }
}