Pith Number

pith:55B2UTSK

pith:2012:55B2UTSKHZCWY7TWVOQBTUBZ5A

not attested not anchored not stored refs pending

Two unfortunate properties of pure f-vectors

Adrian Pastine, Fabrizio Zanello

arxiv:1211.3708 v2 · 2012-11-15 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55B2UTSKHZCWY7TWVOQBTUBZ5A}

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	2026-05-18T02:30:08.732096Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef43aa4e4a3e456c7e76aba019d039e824f4a07da5a23eedcf95708e56fca270

Aliases

arxiv: 1211.3708 · arxiv_version: 1211.3708v2 · doi: 10.48550/arxiv.1211.3708 · pith_short_12: 55B2UTSKHZCW · pith_short_16: 55B2UTSKHZCWY7TW · pith_short_8: 55B2UTSK

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/55B2UTSKHZCWY7TWVOQBTUBZ5A \
  | 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: ef43aa4e4a3e456c7e76aba019d039e824f4a07da5a23eedcf95708e56fca270

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac90c10476ae057652c7a94d48bea0c648b06d4eede0bbdd37b2668f26eec2b0",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-15T19:45:50Z",
    "title_canon_sha256": "5fb152356a7affa1e0f117ec3848ac4ffba8cc5b7842946a9e16e08dba90141e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.3708",
    "kind": "arxiv",
    "version": 2
  }
}