Pith Number

pith:UNRRXQ4S

pith:2013:UNRRXQ4SZWAUKTXRBJFSLMA33S

not attested not anchored not stored refs pending

Saturated simple and $k$-simple topological graphs

G\'eza T\'oth, Jan Kyn\v{c}l, J\'anos Pach, Rado\v{s} Radoi\v{c}i\'c

arxiv:1309.1046 v2 · 2013-09-04 · 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{UNRRXQ4SZWAUKTXRBJFSLMA33S}

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	2026-05-18T02:28:29.356651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3631bc392cd81454ef10a4b25b01bdcb6b5488b1d502fd79a9d7736cd27405f

Aliases

arxiv: 1309.1046 · arxiv_version: 1309.1046v2 · doi: 10.48550/arxiv.1309.1046 · pith_short_12: UNRRXQ4SZWAU · pith_short_16: UNRRXQ4SZWAUKTXR · pith_short_8: UNRRXQ4S

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/UNRRXQ4SZWAUKTXRBJFSLMA33S \
  | 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: a3631bc392cd81454ef10a4b25b01bdcb6b5488b1d502fd79a9d7736cd27405f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "578a6139f39078eb2f2089823a3d318e345b9ac52c9f921eabc1d775e72473a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-04T14:31:32Z",
    "title_canon_sha256": "312e7048c479f55b9177298cdb99ce99d286f4dcaef9bf4df4ac3c939a1d090e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1046",
    "kind": "arxiv",
    "version": 2
  }
}