Pith Number

pith:KNAEUDNI

pith:2014:KNAEUDNIR33ORJZKVYXH6DUDY7

not attested not anchored not stored refs pending

Unimodality on $\delta$-vectors of lattice polytopes and two related properties

Akihiro Higashitani

arxiv:1411.5250 v2 · 2014-11-19 · 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{KNAEUDNIR33ORJZKVYXH6DUDY7}

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	2026-05-18T02:18:40.667616Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53404a0da88ef6e8a72aae2e7f0e83c7d619bd0c6650baa8f31238e005a56a75

Aliases

arxiv: 1411.5250 · arxiv_version: 1411.5250v2 · doi: 10.48550/arxiv.1411.5250 · pith_short_12: KNAEUDNIR33O · pith_short_16: KNAEUDNIR33ORJZK · pith_short_8: KNAEUDNI

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/KNAEUDNIR33ORJZKVYXH6DUDY7 \
  | 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: 53404a0da88ef6e8a72aae2e7f0e83c7d619bd0c6650baa8f31238e005a56a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "810d52fb8a5bd293b16605eabceab3e19a6833be47d1fbce00cf1c7e1a9dc33e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-11-19T15:21:13Z",
    "title_canon_sha256": "f20458698ed3577e1584c74058e9b4dfdf09469346104b5837f60d6c2f93d097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.5250",
    "kind": "arxiv",
    "version": 2
  }
}