Pith Number

pith:TCFE7Y45

pith:2022:TCFE7Y45D4G2O3S4COCF2WWDJD

not attested not anchored not stored refs pending

Structured Decompositions: Structural and Algorithmic Compositionality

Benjamin Merlin Bumpus, Emilio Minichiello, Jade Edenstar Master, Zoltan A. Kocsis

arxiv:2207.06091 v7 · 2022-07-13 · math.CT · cs.DS · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCFE7Y45D4G2O3S4COCF2WWDJD}

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	2026-07-05T11:06:06.515889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

988a4fe39d1f0da76e5c13845d5ac348d90f73d80d30af32dd6f4cd3202f5cd1

Aliases

arxiv: 2207.06091 · arxiv_version: 2207.06091v7 · doi: 10.48550/arxiv.2207.06091 · pith_short_12: TCFE7Y45D4G2 · pith_short_16: TCFE7Y45D4G2O3S4 · pith_short_8: TCFE7Y45

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/TCFE7Y45D4G2O3S4COCF2WWDJD \
  | 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: 988a4fe39d1f0da76e5c13845d5ac348d90f73d80d30af32dd6f4cd3202f5cd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced448495f6b79d6209f78407694f6aea9ae1a45169830fde3b3888bd001929d",
    "cross_cats_sorted": [
      "cs.DS",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-07-13T10:00:52Z",
    "title_canon_sha256": "add8ec126957970c22add2662ec1010432cbc39de8a0c3c75c4f2c82bb26f784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06091",
    "kind": "arxiv",
    "version": 7
  }
}