Pith Number

pith:2PEU67KS

pith:2013:2PEU67KSWC6JU6QKTP5FXU6GMJ

not attested not anchored not stored refs pending

Matrix orbit closures

Alex Fink, Andrew Berget

arxiv:1306.1810 v6 · 2013-06-07 · math.AG · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2PEU67KSWC6JU6QKTP5FXU6GMJ}

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	2026-05-18T01:36:44.013834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c94f7d52b0bc9a7a0a9bfa5bd3c66273a341712b33001700726b6906a1f396

Aliases

arxiv: 1306.1810 · arxiv_version: 1306.1810v6 · doi: 10.48550/arxiv.1306.1810 · pith_short_12: 2PEU67KSWC6J · pith_short_16: 2PEU67KSWC6JU6QK · pith_short_8: 2PEU67KS

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/2PEU67KSWC6JU6QKTP5FXU6GMJ \
  | 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: d3c94f7d52b0bc9a7a0a9bfa5bd3c66273a341712b33001700726b6906a1f396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8675570026d039711903185a64f580f4803f8f40f8f3d9c1edf520cf7747b86f",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-07T19:09:37Z",
    "title_canon_sha256": "4d00e356e311105edd0ac778d82bb0d430171e472fc143cfc84f1db2106fc09d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1810",
    "kind": "arxiv",
    "version": 6
  }
}