Pith Number

pith:OOB7FYW7

pith:2016:OOB7FYW7QR34YS5C3GAY56RVQA

not attested not anchored not stored refs pending

Homotopy- and Cohomology Groups of Kan Complexes

Jan Steinebrunner

arxiv:1608.00483 v1 · 2016-08-01 · 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{OOB7FYW7QR34YS5C3GAY56RVQA}

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	2026-05-18T01:10:11.716853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7383f2e2df8477cc4ba2d9818efa35800baa0ea0521b285ef98ca6b399ba0619

Aliases

arxiv: 1608.00483 · arxiv_version: 1608.00483v1 · doi: 10.48550/arxiv.1608.00483 · pith_short_12: OOB7FYW7QR34 · pith_short_16: OOB7FYW7QR34YS5C · pith_short_8: OOB7FYW7

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/OOB7FYW7QR34YS5C3GAY56RVQA \
  | 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: 7383f2e2df8477cc4ba2d9818efa35800baa0ea0521b285ef98ca6b399ba0619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6f0d901c37887131ca97e5d29964c57ce5220c39544e16311a16cfd1a0baa2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-08-01T16:24:52Z",
    "title_canon_sha256": "7521ad660ad115db97470eba19b1707d1432738a95a2724b39d527d9fd56c067"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00483",
    "kind": "arxiv",
    "version": 1
  }
}