Pith Number

pith:3WYFIA4I

pith:2017:3WYFIA4IDLG7YDVLMFJCVTLFDT

not attested not anchored not stored refs pending

Graded linearisations

Brent Doran, Frances Kirwan, Gergely B\'erczi

arxiv:1703.05226 v1 · 2017-03-15 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3WYFIA4IDLG7YDVLMFJCVTLFDT}

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	2026-05-18T00:48:38.008625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddb05403881acdfc0eab61522acd651cc1a8ddfdf1ded56e455f9ed558a19600

Aliases

arxiv: 1703.05226 · arxiv_version: 1703.05226v1 · doi: 10.48550/arxiv.1703.05226 · pith_short_12: 3WYFIA4IDLG7 · pith_short_16: 3WYFIA4IDLG7YDVL · pith_short_8: 3WYFIA4I

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/3WYFIA4IDLG7YDVLMFJCVTLFDT \
  | 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: ddb05403881acdfc0eab61522acd651cc1a8ddfdf1ded56e455f9ed558a19600

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcd6e77384a776eac26403ce77d42e23150c063d6586de356a872e84b5857793",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-03-15T16:04:39Z",
    "title_canon_sha256": "db184b370a66168f42ea9362d3e74c94c4ea17de30b4f9d9ad3a810b82e6a04b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.05226",
    "kind": "arxiv",
    "version": 1
  }
}