Pith Number

pith:NZMIZ2LP

pith:2010:NZMIZ2LPO2B4TI2H4ZXTJYZZMU

not attested not anchored not stored refs pending

Schnyder decompositions for regular plane graphs and application to drawing

Eric Fusy (LIX), Olivier Bernardi (MIT)

arxiv:1007.2484 v2 · 2010-07-15 · math.CO · cs.DM · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZMIZ2LPO2B4TI2H4ZXTJYZZMU}

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	2026-05-18T04:00:16.167397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e588ce96f7683c9a347e66f34e3396504b21b084c23c4fc64836266353b69b5

Aliases

arxiv: 1007.2484 · arxiv_version: 1007.2484v2 · doi: 10.48550/arxiv.1007.2484 · pith_short_12: NZMIZ2LPO2B4 · pith_short_16: NZMIZ2LPO2B4TI2H · pith_short_8: NZMIZ2LP

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/NZMIZ2LPO2B4TI2H4ZXTJYZZMU \
  | 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: 6e588ce96f7683c9a347e66f34e3396504b21b084c23c4fc64836266353b69b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ae4ff48ef71731ccad3f716b5c415c68922386d8fc47d45724baa22f042563",
    "cross_cats_sorted": [
      "cs.DM",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-07-15T06:04:25Z",
    "title_canon_sha256": "9df856970da9d75e8727869f46be7acd41ba4a33871eea9c2eb21b036b8f7811"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2484",
    "kind": "arxiv",
    "version": 2
  }
}