Pith Number

pith:I6V7FP67

pith:2015:I6V7FP67PWVXIJR7O7KQPZENQB

not attested not anchored not stored refs pending

\v{C}ech complexes for covers of small categories

Kohei Tanaka

arxiv:1508.03688 v1 · 2015-08-15 · 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{I6V7FP67PWVXIJR7O7KQPZENQB}

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	2026-05-18T01:35:15.428564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47abf2bfdf7dab74263f77d507e48d805da64c2aa61480510a77d19c5c936517

Aliases

arxiv: 1508.03688 · arxiv_version: 1508.03688v1 · doi: 10.48550/arxiv.1508.03688 · pith_short_12: I6V7FP67PWVX · pith_short_16: I6V7FP67PWVXIJR7 · pith_short_8: I6V7FP67

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/I6V7FP67PWVXIJR7O7KQPZENQB \
  | 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: 47abf2bfdf7dab74263f77d507e48d805da64c2aa61480510a77d19c5c936517

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9bb4bd2a45a2f2a3d100a2e1698c7a7720cdcdc1c68c0ece850ce6bd7cb1a11",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-08-15T02:59:44Z",
    "title_canon_sha256": "9316e9e2a87315d71d02974c3df95149de005392435ed58e624d7a8a03a38d41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03688",
    "kind": "arxiv",
    "version": 1
  }
}