Pith Number

pith:CTB425DK

pith:2012:CTB425DKQPPNOIFEEZ5GOXIQWP

not attested not anchored not stored refs pending

The combinatorics of interval-vector polytopes

Amanda Ruiz, Gabriel Dorfsman-Hopkins, Jessica De Silva, Joseph Pruitt, Matthias Beck

arxiv:1211.2039 v2 · 2012-11-09 · 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{CTB425DKQPPNOIFEEZ5GOXIQWP}

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	2026-05-18T03:11:24.085657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c3cd746a83ded720a4267a675d10b3c0526006bd2f533176ac73b6f1f5c391

Aliases

arxiv: 1211.2039 · arxiv_version: 1211.2039v2 · doi: 10.48550/arxiv.1211.2039 · pith_short_12: CTB425DKQPPN · pith_short_16: CTB425DKQPPNOIFE · pith_short_8: CTB425DK

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/CTB425DKQPPNOIFEEZ5GOXIQWP \
  | 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: 14c3cd746a83ded720a4267a675d10b3c0526006bd2f533176ac73b6f1f5c391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e7b8faecce73e09f066233f88775e23b17a4dce94f9ab0401d132ade071ba43",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-09T04:29:34Z",
    "title_canon_sha256": "2f0949649f336c089b37df8776e973515fa11560ddbec82d8d7ee64bf49d099e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2039",
    "kind": "arxiv",
    "version": 2
  }
}