Pith Number

pith:4TIKAFGI

pith:2016:4TIKAFGIRXKXSL7HHY3DI4NEXS

not attested not anchored not stored refs pending

A Random Bockstein Operator

Matthew Zabka

arxiv:1605.08131 v2 · 2016-05-26 · 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{4TIKAFGIRXKXSL7HHY3DI4NEXS}

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	2026-05-18T00:08:57.963779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4d0a014c88dd5792fe73e363471a4bca936f3f55c7cacafb3ae657faf362190

Aliases

arxiv: 1605.08131 · arxiv_version: 1605.08131v2 · doi: 10.48550/arxiv.1605.08131 · pith_short_12: 4TIKAFGIRXKX · pith_short_16: 4TIKAFGIRXKXSL7H · pith_short_8: 4TIKAFGI

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/4TIKAFGIRXKXSL7HHY3DI4NEXS \
  | 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: e4d0a014c88dd5792fe73e363471a4bca936f3f55c7cacafb3ae657faf362190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecc4a2b0a37b57607bd8ff320e22ae572aa62472282e77094f4e59af68c04403",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-05-26T03:05:02Z",
    "title_canon_sha256": "0459c232e522b3dd9ffae580d8857e96b4f7500d115e414848d1de309184b7c6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08131",
    "kind": "arxiv",
    "version": 2
  }
}