Pith Number

pith:5PP5WM57

pith:2010:5PP5WM57ZP4AEAK5YRCG6I3VLM

not attested not anchored not stored refs pending

Contracting planar graphs to contractions of triangulations

Daniel Paulusma, Dimitrios M. Thilikos, Marcin Kaminski

arxiv:1012.2460 v1 · 2010-12-11 · math.CO · 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{5PP5WM57ZP4AEAK5YRCG6I3VLM}

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	2026-05-18T04:33:28.586568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebdfdb33bfcbf802015dc4446f23755b19c1ccb9dffae3948111b2a9efef4ee8

Aliases

arxiv: 1012.2460 · arxiv_version: 1012.2460v1 · doi: 10.48550/arxiv.1012.2460 · pith_short_12: 5PP5WM57ZP4A · pith_short_16: 5PP5WM57ZP4AEAK5 · pith_short_8: 5PP5WM57

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/5PP5WM57ZP4AEAK5YRCG6I3VLM \
  | 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: ebdfdb33bfcbf802015dc4446f23755b19c1ccb9dffae3948111b2a9efef4ee8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "642afce97c53edc1062944835471e2a3f7103e9cfecb8038ab5f07fd1d22064f",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-11T14:38:41Z",
    "title_canon_sha256": "ac1b412374182ce659ad084f390fbe588b063235de93daaf7eb0b942be5213a9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.2460",
    "kind": "arxiv",
    "version": 1
  }
}