Pith Number

pith:FPACNIGT

pith:2023:FPACNIGT62HLSNZEVPAYW424I4

not attested not anchored not stored refs pending

Descriptive complexity of controllable graphs

Aida Abiad, Anuj Dawar, Octavio Zapata

arxiv:2309.04892 v1 · 2023-09-09 · math.CO · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FPACNIGT62HLSNZEVPAYW424I4}

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	2026-07-05T06:49:28.358939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bc026a0d3f68eb93724abc18b735c47056b6853a79741819402b3f268f818e4

Aliases

arxiv: 2309.04892 · arxiv_version: 2309.04892v1 · doi: 10.48550/arxiv.2309.04892 · pith_short_12: FPACNIGT62HL · pith_short_16: FPACNIGT62HLSNZE · pith_short_8: FPACNIGT

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/FPACNIGT62HLSNZEVPAYW424I4 \
  | 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: 2bc026a0d3f68eb93724abc18b735c47056b6853a79741819402b3f268f818e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a12da7026bc1478aed82772a4f7ee05389ee8f9fbd3a3a0b9461704204fb55b",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-09-09T23:04:00Z",
    "title_canon_sha256": "08d05a9225efd88df938b1282625541178cef65759ffcaf96c0fcd579fa64fa3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.04892",
    "kind": "arxiv",
    "version": 1
  }
}