Pith Number

pith:GIXKEWNQ

pith:2002:GIXKEWNQJFRAT52LKRTO3BPCCF

not attested not anchored not stored refs pending

On the cohomology algebra of a fiber

Luc Menichi

arxiv:math/0201134 v1 · 2002-01-15 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GIXKEWNQJFRAT52LKRTO3BPCCF}

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	2026-05-18T02:41:33.150877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

322ea259b0496209f74b5466ed85e2115ca64f3d0bc047e0e14b1d55e706f8a1

Aliases

arxiv: math/0201134 · arxiv_version: math/0201134v1 · doi: 10.48550/arxiv.math/0201134 · pith_short_12: GIXKEWNQJFRA · pith_short_16: GIXKEWNQJFRAT52L · pith_short_8: GIXKEWNQ

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/GIXKEWNQJFRAT52LKRTO3BPCCF \
  | 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: 322ea259b0496209f74b5466ed85e2115ca64f3d0bc047e0e14b1d55e706f8a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcc97976bb5c73bb9ec852f014ff218d347c02f485ed119efbf0496271ef3eda",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2002-01-15T15:51:20Z",
    "title_canon_sha256": "a391d2dc11ca086a7d8f0f6b45808e5677e96019ff676e68ab68783c1d205eac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0201134",
    "kind": "arxiv",
    "version": 1
  }
}