Pith Number

pith:IG7MXO3B

pith:2012:IG7MXO3BNS7YZSLPWYHQYD57TO

not attested not anchored not stored refs pending

Universal point sets for planar three-tree

Csaba D. T\'oth, Radoslav Fulek

arxiv:1212.6148 v3 · 2012-12-26 · cs.CG · 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{IG7MXO3BNS7YZSLPWYHQYD57TO}

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	2026-05-18T03:11:46.935502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41becbbb616cbf8cc96fb60f0c0fbf9b927011ff90eccb2994119510a69ef4d9

Aliases

arxiv: 1212.6148 · arxiv_version: 1212.6148v3 · doi: 10.48550/arxiv.1212.6148 · pith_short_12: IG7MXO3BNS7Y · pith_short_16: IG7MXO3BNS7YZSLP · pith_short_8: IG7MXO3B

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/IG7MXO3BNS7YZSLPWYHQYD57TO \
  | 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: 41becbbb616cbf8cc96fb60f0c0fbf9b927011ff90eccb2994119510a69ef4d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caa9aaef2317d4f9fd6938c9609e29788c0f5fb31c7353a27d2016c244fadb42",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CG",
    "submitted_at": "2012-12-26T09:30:20Z",
    "title_canon_sha256": "7f850b5b7e0617e3d7a8483867fce40e2d8db571253a621885f0cda0ac2e9bc7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6148",
    "kind": "arxiv",
    "version": 3
  }
}