Pith Number

pith:M4NB257Y

pith:2015:M4NB257YDDHTBIDPJ6Y277QA2Q

not attested not anchored not stored refs pending

Splitting the Kunneth formula

Laurence R. Taylor

arxiv:1506.02063 v1 · 2015-06-05 · 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{M4NB257YDDHTBIDPJ6Y277QA2Q}

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	2026-05-18T01:55:52.193719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

671a1d77f818cf30a06f4fb1affe00d42b6d9c10c271ea7c87785b2c67fac6c6

Aliases

arxiv: 1506.02063 · arxiv_version: 1506.02063v1 · doi: 10.48550/arxiv.1506.02063 · pith_short_12: M4NB257YDDHT · pith_short_16: M4NB257YDDHTBIDP · pith_short_8: M4NB257Y

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/M4NB257YDDHTBIDPJ6Y277QA2Q \
  | 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: 671a1d77f818cf30a06f4fb1affe00d42b6d9c10c271ea7c87785b2c67fac6c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caa900b2c5b41afa0a160e7a499d6b2c8623674e1a77ffe898ac85dfeeba9450",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-06-05T20:40:29Z",
    "title_canon_sha256": "fc602f61bc9c75f11d7b8a69898cfeb78cfc4b28552a226824a895e72e7bb1f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.02063",
    "kind": "arxiv",
    "version": 1
  }
}