Pith Number

pith:7TQ5S324

pith:2016:7TQ5S3243ROYDU2C55VFU7RAUA

not attested not anchored not stored refs pending

An elementary proof of a Theorem by Matsumoto

Luis Hernandez-Corbato

arxiv:1605.08731 v1 · 2016-05-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7TQ5S3243ROYDU2C55VFU7RAUA}

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	2026-05-18T01:13:29.209136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fce1d96f5cdc5d81d342ef6a5a7e20a016172eb0790160c551c45e309a5fa178

Aliases

arxiv: 1605.08731 · arxiv_version: 1605.08731v1 · doi: 10.48550/arxiv.1605.08731 · pith_short_12: 7TQ5S3243ROY · pith_short_16: 7TQ5S3243ROYDU2C · pith_short_8: 7TQ5S324

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/7TQ5S3243ROYDU2C55VFU7RAUA \
  | 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: fce1d96f5cdc5d81d342ef6a5a7e20a016172eb0790160c551c45e309a5fa178

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "737244b953981c90fe35d77aca7f6ef17bec3acf0315f8e8969cee0f94a48ef2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-05-27T18:06:34Z",
    "title_canon_sha256": "263ffa96451f07c1fdaa0eeabb9bac6a5a947ad72a00b7d26b0316062a8fde2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.08731",
    "kind": "arxiv",
    "version": 1
  }
}