Pith Number

pith:4NH6F643

pith:2011:4NH6F643QGGDCMLAT2TJO5YGRO

not attested not anchored not stored refs pending

Homotopy completion and topological Quillen homology of structured ring spectra

John E. Harper, Kathryn Hess

arxiv:1102.1234 v5 · 2011-02-07 · 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{4NH6F643QGGDCMLAT2TJO5YGRO}

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	2026-05-18T02:38:18.272358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e34fe2fb9b818c3131609ea69777068baba0d41bba4c11de3949ff1162debf1f

Aliases

arxiv: 1102.1234 · arxiv_version: 1102.1234v5 · doi: 10.48550/arxiv.1102.1234 · pith_short_12: 4NH6F643QGGD · pith_short_16: 4NH6F643QGGDCMLA · pith_short_8: 4NH6F643

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/4NH6F643QGGDCMLAT2TJO5YGRO \
  | 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: e34fe2fb9b818c3131609ea69777068baba0d41bba4c11de3949ff1162debf1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0db8e6cab2f5eb7e99a39b522b75d73e23baacd54efa03491e5759546da86b6a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-02-07T05:13:10Z",
    "title_canon_sha256": "ba3a0a4d3feef22e23ba40b3bbfe6a206a33fdb91b74c55fe8b653e8a29cfe6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.1234",
    "kind": "arxiv",
    "version": 5
  }
}