Pith Number

pith:CODTHVZS

pith:2006:CODTHVZSL2AGPEO5ROV6IK4RB4

not attested not anchored not stored refs pending

Lattice convex chains in the plane

Julien Bureaux (MODAL'X), Nathanael Enriquez (MODAL'X)

arxiv:math/0612770 v2 · 2006-12-26 · math.PR · 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{CODTHVZSL2AGPEO5ROV6IK4RB4}

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	2026-05-18T02:29:55.474642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

138733d7325e806791dd8babe42b910f18e4e864d66c53449aae15097154ee7a

Aliases

arxiv: math/0612770 · arxiv_version: math/0612770v2 · doi: 10.48550/arxiv.math/0612770 · pith_short_12: CODTHVZSL2AG · pith_short_16: CODTHVZSL2AGPEO5 · pith_short_8: CODTHVZS

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/CODTHVZSL2AGPEO5ROV6IK4RB4 \
  | 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: 138733d7325e806791dd8babe42b910f18e4e864d66c53449aae15097154ee7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07dcca75f5496d2f368830cae4e1bd0b5798091165d48c97e5556e5e7de4bcb3",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2006-12-26T18:30:30Z",
    "title_canon_sha256": "98bac93618c6d8b409b67ff3bb6dda365c5de66e4e70157b5d392002a90bfc2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612770",
    "kind": "arxiv",
    "version": 2
  }
}