Pith Number

pith:CKU5OWOU

pith:2013:CKU5OWOUO6IQHI5JGFEKOFIGQC

not attested not anchored not stored refs pending

Picard--Vessiot structures

Moshe Kamensky

arxiv:1308.6191 v2 · 2013-08-28 · math.CA · math.LO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CKU5OWOUO6IQHI5JGFEKOFIGQC}

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	2026-05-18T00:07:24.052054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12a9d759d4779103a3a93148a7150680a32b383ceae2ecae616940454578351a

Aliases

arxiv: 1308.6191 · arxiv_version: 1308.6191v2 · doi: 10.48550/arxiv.1308.6191 · pith_short_12: CKU5OWOUO6IQ · pith_short_16: CKU5OWOUO6IQHI5J · pith_short_8: CKU5OWOU

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/CKU5OWOUO6IQHI5JGFEKOFIGQC \
  | 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: 12a9d759d4779103a3a93148a7150680a32b383ceae2ecae616940454578351a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb5f56c636a57f7fb92f4c285f05c09f3db3dd35c33f10ff4021c32ac9d06b34",
    "cross_cats_sorted": [
      "math.LO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-28T15:47:20Z",
    "title_canon_sha256": "7fe8a904c3a716a99e91e040a84bdee0e15291b2c61606658ba5ab72c2f09d5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6191",
    "kind": "arxiv",
    "version": 2
  }
}