Pith Number

pith:5HJKGFY5

pith:2010:5HJKGFY5IFOFTSPA7ZKT2AE2EY

not attested not anchored not stored refs pending

The Euler characteristic of infinite acyclic categories with filtrations

Kazunori Noguchi

arxiv:1004.2547 v1 · 2010-04-15 · math.CT · 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{5HJKGFY5IFOFTSPA7ZKT2AE2EY}

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	2026-05-18T04:24:06.312079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9d2a3171d415c59c9e0fe553d009a262774b1f4043564cfff091e0da9d07ba6

Aliases

arxiv: 1004.2547 · arxiv_version: 1004.2547v1 · doi: 10.48550/arxiv.1004.2547 · pith_short_12: 5HJKGFY5IFOF · pith_short_16: 5HJKGFY5IFOFTSPA · pith_short_8: 5HJKGFY5

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/5HJKGFY5IFOFTSPA7ZKT2AE2EY \
  | 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: e9d2a3171d415c59c9e0fe553d009a262774b1f4043564cfff091e0da9d07ba6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "179350aa960c5e55eee5e832bc9ca95fb8da7cb3f9ac926b195ec2fac48fb561",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2010-04-15T03:57:13Z",
    "title_canon_sha256": "9abc3c1e310b7f795d42eb5de82dd687854328778b6524d356aa5612c43c31cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2547",
    "kind": "arxiv",
    "version": 1
  }
}