Pith Number

pith:Z6ZWV5AC

pith:2012:Z6ZWV5ACNSYW47IYP2G5J6VSSP

not attested not anchored not stored refs pending

Central cohomology operations and K-theory

Imma Galvez-Carrillo, Sarah Whitehouse

arxiv:1204.3025 v1 · 2012-04-13 · 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{Z6ZWV5ACNSYW47IYP2G5J6VSSP}

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	2026-05-18T03:57:54.134412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfb36af4026cb16e7d187e8dd4fab293dd6d4e1554e6034ac04e164aabebf1ab

Aliases

arxiv: 1204.3025 · arxiv_version: 1204.3025v1 · doi: 10.48550/arxiv.1204.3025 · pith_short_12: Z6ZWV5ACNSYW · pith_short_16: Z6ZWV5ACNSYW47IY · pith_short_8: Z6ZWV5AC

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/Z6ZWV5ACNSYW47IYP2G5J6VSSP \
  | 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: cfb36af4026cb16e7d187e8dd4fab293dd6d4e1554e6034ac04e164aabebf1ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3105733d3a2c149c5a0e62d5c1208f54d497d82cce72471a203581892e9d1f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-13T15:14:20Z",
    "title_canon_sha256": "c64936864847dbb422d75b246848ba23602ed8d37efa652f6e701e1b7b37041c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.3025",
    "kind": "arxiv",
    "version": 1
  }
}