Pith Number

pith:CG5IBGP7

pith:2019:CG5IBGP7JC5XRGAV2NDIHSBQ2A

not attested not anchored not stored refs pending

Bioperational Multisets in Various Semi-rings

Onno M. Cain

arxiv:1908.03235 v1 · 2019-08-08 · math.RA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CG5IBGP7JC5XRGAV2NDIHSBQ2A}

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	2026-07-04T23:52:37.591396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11ba8099ff48bb789815d34683c830d014cfd094796181d2a64ffd25bbaefcda

Aliases

arxiv: 1908.03235 · arxiv_version: 1908.03235v1 · doi: 10.48550/arxiv.1908.03235 · pith_short_12: CG5IBGP7JC5X · pith_short_16: CG5IBGP7JC5XRGAV · pith_short_8: CG5IBGP7

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/CG5IBGP7JC5XRGAV2NDIHSBQ2A \
  | 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: 11ba8099ff48bb789815d34683c830d014cfd094796181d2a64ffd25bbaefcda

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eaa0abfc755bb7f86681be9f690ed27b8452468e4190fd0c2f9e38b91a4a3c3e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-08-08T18:33:03Z",
    "title_canon_sha256": "b26d84bed9ec2f7a61e546d0637a1c0ebb8b0da413a6104785c7b82a56bb27e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.03235",
    "kind": "arxiv",
    "version": 1
  }
}