Pith Number

pith:YVRN43RX

pith:2015:YVRN43RX2C6SPDDCVCQPFMXNMU

not attested not anchored not stored refs pending

Box representations of embedded graphs

Louis Esperet

arxiv:1512.02381 v2 · 2015-12-08 · math.CO · cs.CG · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVRN43RX2C6SPDDCVCQPFMXNMU}

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	2026-05-18T00:49:00.147496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c562de6e37d0bd278c62a8a0f2b2ed650ffd46b4311a246443d7c1726b39b313

Aliases

arxiv: 1512.02381 · arxiv_version: 1512.02381v2 · doi: 10.48550/arxiv.1512.02381 · pith_short_12: YVRN43RX2C6S · pith_short_16: YVRN43RX2C6SPDDC · pith_short_8: YVRN43RX

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/YVRN43RX2C6SPDDCVCQPFMXNMU \
  | 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: c562de6e37d0bd278c62a8a0f2b2ed650ffd46b4311a246443d7c1726b39b313

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99b3395fea8b72c310e234cb91970d6481beaf553839becde50135b00f1983ee",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-08T09:37:18Z",
    "title_canon_sha256": "d584c9fcfdb169bd94edf3b8ef92f5a2280dcf2741c3a0ec3a79673d2df12b50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02381",
    "kind": "arxiv",
    "version": 2
  }
}