Pith Number

pith:IIWRXT2N

pith:2011:IIWRXT2N2ZKLNSTN7TX4JA3PLD

not attested not anchored not stored refs pending

A Generalized Goursat Lemma

Debasis Sen, Kristine Bauer, Peter Zvengrowski

arxiv:1109.0024 v3 · 2011-08-31 · math.GR · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIWRXT2N2ZKLNSTN7TX4JA3PLD}

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	2026-05-18T01:55:43.572900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

422d1bcf4dd654b6ca6dfcefc4836f58fd950821ef01140ca5ecad197e49a8c3

Aliases

arxiv: 1109.0024 · arxiv_version: 1109.0024v3 · doi: 10.48550/arxiv.1109.0024 · pith_short_12: IIWRXT2N2ZKL · pith_short_16: IIWRXT2N2ZKLNSTN · pith_short_8: IIWRXT2N

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/IIWRXT2N2ZKLNSTN7TX4JA3PLD \
  | 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: 422d1bcf4dd654b6ca6dfcefc4836f58fd950821ef01140ca5ecad197e49a8c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44488fbcbf27faf13492b2286dc499dde992e8c71169320d55838ac8d3793fde",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-08-31T20:19:34Z",
    "title_canon_sha256": "1322e167af7ed0e446cf6b38404b19ab4b86a77c686f19aad9e70505e6bc4ad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0024",
    "kind": "arxiv",
    "version": 3
  }
}