Pith Number

pith:S4J3EVOA

pith:2007:S4J3EVOAMN6ZP4HV6A3MC2BBWQ

not attested not anchored not stored refs pending

A converse to the Second Whitehead Lemma

Pasha Zusmanovich

arxiv:0704.3864 v5 · 2007-04-29 · math.RA · math.KT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4J3EVOAMN6ZP4HV6A3MC2BBWQ}

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	2026-05-18T02:45:21.813621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9713b255c0637d97f0f5f036c16821b4005e05aec26c50081440ce059b1b1946

Aliases

arxiv: 0704.3864 · arxiv_version: 0704.3864v5 · doi: 10.48550/arxiv.0704.3864 · pith_short_12: S4J3EVOAMN6Z · pith_short_16: S4J3EVOAMN6ZP4HV · pith_short_8: S4J3EVOA

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/S4J3EVOAMN6ZP4HV6A3MC2BBWQ \
  | 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: 9713b255c0637d97f0f5f036c16821b4005e05aec26c50081440ce059b1b1946

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c0425228dce134145603ea666a55c30600c0c5971d4c70cee1208e7be4f9894",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2007-04-29T23:42:04Z",
    "title_canon_sha256": "a7bc520a597c351f479a7fbff81a43305b69f666ca547bc84e822fb5da438666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3864",
    "kind": "arxiv",
    "version": 5
  }
}