Pith Number

pith:3O5F7ATM

pith:2022:3O5F7ATMMFO2JNU4YM7A2N2TK2

not attested not anchored not stored refs pending

Toughness of recursively partitionable graphs

Brandon Du Preez, Calum Buchanan, K. E. Perry, Puck Rombach

arxiv:2210.10590 v1 · 2022-10-19 · 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{3O5F7ATMMFO2JNU4YM7A2N2TK2}

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	2026-07-05T05:08:21.293474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbba5f826c615da4b69cc33e0d375356b6af676f17e0c15a9c1a0c3717b6624f

Aliases

arxiv: 2210.10590 · arxiv_version: 2210.10590v1 · doi: 10.48550/arxiv.2210.10590 · pith_short_12: 3O5F7ATMMFO2 · pith_short_16: 3O5F7ATMMFO2JNU4 · pith_short_8: 3O5F7ATM

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/3O5F7ATMMFO2JNU4YM7A2N2TK2 \
  | 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: dbba5f826c615da4b69cc33e0d375356b6af676f17e0c15a9c1a0c3717b6624f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "007bafcb2300dfa994a896283d0754df4e9d13ec908d9f308f1fa4d524a08062",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-10-19T14:31:59Z",
    "title_canon_sha256": "d5354d57dcd61d6e0ed1ef4c463d353f84876474957b2195a181ef9564992eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.10590",
    "kind": "arxiv",
    "version": 1
  }
}