Pith Number

pith:DQT7O5YC

pith:2018:DQT7O5YC7DBXA7TY43N3TJ7XQK

not attested not anchored not stored refs pending

Tribracket Modules

Deanna Needell, Sam Nelson, Yingqi Shi

arxiv:1808.04421 v2 · 2018-08-13 · 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{DQT7O5YC7DBXA7TY43N3TJ7XQK}

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	2026-07-04T23:59:46.846837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c27f77702f8c3707e78e6dbb9a7f782b333cd0fe9f82dae83b7369a575a1a3d

Aliases

arxiv: 1808.04421 · arxiv_version: 1808.04421v2 · doi: 10.48550/arxiv.1808.04421 · pith_short_12: DQT7O5YC7DBX · pith_short_16: DQT7O5YC7DBXA7TY · pith_short_8: DQT7O5YC

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/DQT7O5YC7DBXA7TY43N3TJ7XQK \
  | 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: 1c27f77702f8c3707e78e6dbb9a7f782b333cd0fe9f82dae83b7369a575a1a3d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c66caa20dbe997044bd1915372eb73e04c05464c0137ab9492ebd8761d87b134",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2018-08-13T19:52:20Z",
    "title_canon_sha256": "fe66d237666d15e0de0bfc10504dfcc50f122b51ce714fe830a52ac8f8c7ed82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04421",
    "kind": "arxiv",
    "version": 2
  }
}