Pith Number

pith:QNP4C5YK

pith:2012:QNP4C5YK65IVVXHKNQQOLYBTLQ

not attested not anchored not stored refs pending

Of Sullivan models, Massey products, and twisted Pontrjagin products

Somnath Basu

arxiv:1209.3226 v2 · 2012-09-14 · 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{QNP4C5YK65IVVXHKNQQOLYBTLQ}

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	2026-05-18T01:23:45.708398Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

835fc1770af7515adcea6c20e5e0335c1f019fa6904ba561e482d0ae85ca5bd8

Aliases

arxiv: 1209.3226 · arxiv_version: 1209.3226v2 · doi: 10.48550/arxiv.1209.3226 · pith_short_12: QNP4C5YK65IV · pith_short_16: QNP4C5YK65IVVXHK · pith_short_8: QNP4C5YK

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/QNP4C5YK65IVVXHKNQQOLYBTLQ \
  | 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: 835fc1770af7515adcea6c20e5e0335c1f019fa6904ba561e482d0ae85ca5bd8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47ce21cc0f1927d83d38288441747c9d502bb46b3b21e8ee845e4bb89d64e8d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-09-14T15:15:28Z",
    "title_canon_sha256": "1288bb6bf845d441c050e80489dab2a2abd319cfc6406545103c40a38f4806e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3226",
    "kind": "arxiv",
    "version": 2
  }
}