Pith Number

pith:T5YOX2TO

pith:2016:T5YOX2TOAJV5K2HNR6BJZWQNPF

not attested not anchored not stored refs pending

Random Perfect Graphs

Colin McDiarmid, Nikola Yolov

arxiv:1604.00890 v2 · 2016-04-04 · 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{T5YOX2TOAJV5K2HNR6BJZWQNPF}

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	2026-05-18T00:35:55.721936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f70ebea6e026bd568ed8f829cda0d797d4556693826507f4c00d6ac2b8ad7a8

Aliases

arxiv: 1604.00890 · arxiv_version: 1604.00890v2 · doi: 10.48550/arxiv.1604.00890 · pith_short_12: T5YOX2TOAJV5 · pith_short_16: T5YOX2TOAJV5K2HN · pith_short_8: T5YOX2TO

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/T5YOX2TOAJV5K2HNR6BJZWQNPF \
  | 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: 9f70ebea6e026bd568ed8f829cda0d797d4556693826507f4c00d6ac2b8ad7a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3751f081f1ee128ffb343bf3bd4b9e83a68cd1c89db12e6c6524fcf9e941ab8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-04-04T14:57:55Z",
    "title_canon_sha256": "45df04378117b91d50cc0e24abb61cebec23bb0206080c6fe7dd971ff150f457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00890",
    "kind": "arxiv",
    "version": 2
  }
}