Pith Number

pith:DLKNHOYD

pith:2010:DLKNHOYDLUNINOH5BBLERVHB5Y

not attested not anchored not stored refs pending

Euler Characteristics of Categories and Homotopy Colimits

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

arxiv:1007.3868 v3 · 2010-07-22 · 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{DLKNHOYDLUNINOH5BBLERVHB5Y}

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	2026-05-18T04:25:49.760464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ad4d3bb035d1a86b8fd085648d4e1ee3f2324e3a286c3cbf825d78778951b1b

Aliases

arxiv: 1007.3868 · arxiv_version: 1007.3868v3 · doi: 10.48550/arxiv.1007.3868 · pith_short_12: DLKNHOYDLUNI · pith_short_16: DLKNHOYDLUNINOH5 · pith_short_8: DLKNHOYD

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/DLKNHOYDLUNINOH5BBLERVHB5Y \
  | 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: 1ad4d3bb035d1a86b8fd085648d4e1ee3f2324e3a286c3cbf825d78778951b1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60f37cc2de97f19a6e8fd2cc62b8e1e8d8b8f6df77242a2fe60321d98896763d",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2010-07-22T12:30:38Z",
    "title_canon_sha256": "06f6a0d4e37954e1d029d80a3b6fc8255b958f6505a2213a59fcb02817e3cc36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.3868",
    "kind": "arxiv",
    "version": 3
  }
}