Pith Number

pith:2Z5A52EF

pith:2005:2Z5A52EFFCPDWV2VSA5FUISAPP

not attested not anchored not stored refs pending

Torus graphs and simplicial posets

Hiroshi Maeda, Mikiya Masuda, Taras Panov

arxiv:math/0511582 v2 · 2005-11-23 · math.AT · 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{2Z5A52EFFCPDWV2VSA5FUISAPP}

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	2026-05-18T04:08:53.707619Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d67a0ee885289e3b5755903a5a22407bf39bff754e3bdb43711438bcbdf3f4ea

Aliases

arxiv: math/0511582 · arxiv_version: math/0511582v2 · doi: 10.48550/arxiv.math/0511582 · pith_short_12: 2Z5A52EFFCPD · pith_short_16: 2Z5A52EFFCPDWV2V · pith_short_8: 2Z5A52EF

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/2Z5A52EFFCPDWV2VSA5FUISAPP \
  | 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: d67a0ee885289e3b5755903a5a22407bf39bff754e3bdb43711438bcbdf3f4ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f4e72d7006b4e83073c0e89eb448dde03713039a733b3dbd00e64121053b060",
    "cross_cats_sorted": [
      "math.AC",
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-11-23T14:01:04Z",
    "title_canon_sha256": "f404a55d0feef8fc013d3f97f81762e9245624fa2f141120d0d0b6ed3cd56e81"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511582",
    "kind": "arxiv",
    "version": 2
  }
}