Pith Number

pith:IQ623PM7

pith:2015:IQ623PM7QO725BQCIUWR6H62ZV

not attested not anchored not stored refs pending

An extension theory for partial groups and localities

Alex Gonzalez

arxiv:1507.04392 v2 · 2015-07-15 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQ623PM7QO725BQCIUWR6H62ZV}

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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.

Cited by

1 paper in Pith

On partial groups of small order

Receipt and verification

First computed	2026-05-18T01:34:05.072448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443dadbd9f83bfae8602452d1f1fdacd5df6824057569ebf2c2c0ebaa259d60b

Aliases

arxiv: 1507.04392 · arxiv_version: 1507.04392v2 · doi: 10.48550/arxiv.1507.04392 · pith_short_12: IQ623PM7QO72 · pith_short_16: IQ623PM7QO725BQC · pith_short_8: IQ623PM7

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/IQ623PM7QO725BQCIUWR6H62ZV \
  | 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: 443dadbd9f83bfae8602452d1f1fdacd5df6824057569ebf2c2c0ebaa259d60b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b7e7af1f43b5e768b750e573dddbb55e68ade3afd4f52343b950d984d321912",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-07-15T20:48:50Z",
    "title_canon_sha256": "b65d70c1aa8f212d6261946a515951fdbaa67833677737403069872a78e54d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.04392",
    "kind": "arxiv",
    "version": 2
  }
}