Pith Number

pith:Y5M4RBAY

pith:2024:Y5M4RBAYE4SOTBBAQQMTSRL63M

not attested not anchored not stored refs pending

The expansion of half-integral polytopes

Jean Cardinal, Lionel Pournin

arxiv:2402.14343 v1 · 2024-02-22 · math.CO · cs.CG · cs.DM · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y5M4RBAYE4SOTBBAQQMTSRL63M}

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	2026-07-05T07:48:08.833711Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c759c884182724e98420841939457edb07ffde2f02cc993696e8ee381fa5d92e

Aliases

arxiv: 2402.14343 · arxiv_version: 2402.14343v1 · doi: 10.48550/arxiv.2402.14343 · pith_short_12: Y5M4RBAYE4SO · pith_short_16: Y5M4RBAYE4SOTBBA · pith_short_8: Y5M4RBAY

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/Y5M4RBAYE4SOTBBAQQMTSRL63M \
  | 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: c759c884182724e98420841939457edb07ffde2f02cc993696e8ee381fa5d92e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "27f0940f237f28cefcfc06338eb3ea5330a4e3c1df27234674ba7547506046b3",
    "cross_cats_sorted": [
      "cs.CG",
      "cs.DM",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-02-22T07:20:53Z",
    "title_canon_sha256": "9ca540c8f57462e001a34b537c2bed3f86d7e666c334bdaf89bfecd85f147420"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.14343",
    "kind": "arxiv",
    "version": 1
  }
}