Pith Number

pith:KJAVQX77

pith:2011:KJAVQX77YN3GNRZWCO3YJRLQFO

not attested not anchored not stored refs pending

Roots of Ehrhart polynomials and symmetric $\delta$-vectors

Akihiro Higashitani

arxiv:1112.5777 v2 · 2011-12-25 · 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{KJAVQX77YN3GNRZWCO3YJRLQFO}

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	2026-05-18T03:40:49.525971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5241585fffc37666c73613b784c5702b91e4a8a920e01fc2bef7adcfd2a586e3

Aliases

arxiv: 1112.5777 · arxiv_version: 1112.5777v2 · doi: 10.48550/arxiv.1112.5777 · pith_short_12: KJAVQX77YN3G · pith_short_16: KJAVQX77YN3GNRZW · pith_short_8: KJAVQX77

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/KJAVQX77YN3GNRZWCO3YJRLQFO \
  | 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: 5241585fffc37666c73613b784c5702b91e4a8a920e01fc2bef7adcfd2a586e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b86c1409a460855ae49f473911e00145c573f0d33cf29950c2fb319f900c2e5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-12-25T11:55:45Z",
    "title_canon_sha256": "8be713e9148684fe2d83079300bfc2f3cca51a15fdd17bed57d22a43ed3aa578"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5777",
    "kind": "arxiv",
    "version": 2
  }
}