Pith Number

pith:F6SBAAJK

pith:2004:F6SBAAJKSZC6ESY5RN3NVZ6C42

not attested not anchored not stored refs pending

Homology of generalized partition posets

Bruno Vallette

arxiv:math/0405312 v3 · 2004-05-16 · math.AT · 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{F6SBAAJKSZC6ESY5RN3NVZ6C42}

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	2026-05-18T04:25:26.416078Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fa410012a9645e24b1d8b76dae7c2e6acd73f280b2c3f2963be621157b33dd8

Aliases

arxiv: math/0405312 · arxiv_version: math/0405312v3 · doi: 10.48550/arxiv.math/0405312 · pith_short_12: F6SBAAJKSZC6 · pith_short_16: F6SBAAJKSZC6ESY5 · pith_short_8: F6SBAAJK

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/F6SBAAJKSZC6ESY5RN3NVZ6C42 \
  | 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: 2fa410012a9645e24b1d8b76dae7c2e6acd73f280b2c3f2963be621157b33dd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39d83dc1eceea922c257e225e0740e6863d1f0c8a6871b3d87401310a58ec4ed",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2004-05-16T13:59:19Z",
    "title_canon_sha256": "d4a8e1383d451cf4d259350e787fbe98c4b396ec431621122ba8709bcd474954"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405312",
    "kind": "arxiv",
    "version": 3
  }
}