Pith Number

pith:AYLXCUON

pith:2009:AYLXCUONEQC2SZSYFSWAVV2EUC

not attested not anchored not stored refs pending

Finiteness obstructions and Euler characteristics of categories

Roman Sauer, Thomas M. Fiore, Wolfgang L\"uck

arxiv:0908.3417 v2 · 2009-08-24 · math.AT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYLXCUONEQC2SZSYFSWAVV2EUC}

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	2026-05-18T04:40:35.191915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06177151cd2405a966582cac0ad744a0849989a648978b35f8781b0f8e5ff777

Aliases

arxiv: 0908.3417 · arxiv_version: 0908.3417v2 · doi: 10.48550/arxiv.0908.3417 · pith_short_12: AYLXCUONEQC2 · pith_short_16: AYLXCUONEQC2SZSY · pith_short_8: AYLXCUON

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/AYLXCUONEQC2SZSYFSWAVV2EUC \
  | 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: 06177151cd2405a966582cac0ad744a0849989a648978b35f8781b0f8e5ff777

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61d1569f3c58e6be71fa4ca58d8b157db357ea7d28aac427f315b20993fee975",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-08-24T12:08:14Z",
    "title_canon_sha256": "d4b2d4da9a71e14ebce92f5ce62c89859e4b8ef94a97495a1da248cb77f99aa9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3417",
    "kind": "arxiv",
    "version": 2
  }
}