Pith Number

pith:SBLVFSM6

pith:2001:SBLVFSM676DNQKFN7QXCMRCMES

not attested not anchored not stored refs pending

Simplicity of ultragraph algebras

Mark Tomforde

arxiv:math/0106162 v4 · 2001-06-19 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SBLVFSM676DNQKFN7QXCMRCMES}

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	2026-07-04T14:35:23.650965Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

905752c99eff86d828adfc2e26444c24b0b8966b39584339280dfa0d1cdca241

Aliases

arxiv: math/0106162 · arxiv_version: math/0106162v4 · doi: 10.48550/arxiv.math/0106162 · pith_short_12: SBLVFSM676DN · pith_short_16: SBLVFSM676DNQKFN · pith_short_8: SBLVFSM6

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/SBLVFSM676DNQKFN7QXCMRCMES \
  | 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: 905752c99eff86d828adfc2e26444c24b0b8966b39584339280dfa0d1cdca241

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b96a868b0fdff0ce45152616f406ea3b811595c70c39db5b73cb4f5da46f9b8a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2001-06-19T18:04:47Z",
    "title_canon_sha256": "40d9ff4798b98a8d9a45f385b82bb3e1299f4263eeae3722c63ce2f9bb2ad5fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106162",
    "kind": "arxiv",
    "version": 4
  }
}