Pith Number

pith:6KZFPFMC

pith:2011:6KZFPFMC5KFAJ4ELNV7AEZWXT6

not attested not anchored not stored refs pending

Counterexamples of the conjecture on roots of Ehrhart polynomials

Akihiro Higashitani

arxiv:1106.4633 v2 · 2011-06-23 · 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{6KZFPFMC5KFAJ4ELNV7AEZWXT6}

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	2026-05-18T04:19:13.063628Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2b2579582ea8a04f08b6d7e0266d79fad72079d0715d463909b917d383fe949

Aliases

arxiv: 1106.4633 · arxiv_version: 1106.4633v2 · doi: 10.48550/arxiv.1106.4633 · pith_short_12: 6KZFPFMC5KFA · pith_short_16: 6KZFPFMC5KFAJ4EL · pith_short_8: 6KZFPFMC

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/6KZFPFMC5KFAJ4ELNV7AEZWXT6 \
  | 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: f2b2579582ea8a04f08b6d7e0266d79fad72079d0715d463909b917d383fe949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6263de177cf075d4e1c65b0c0b63f1e82632bf851cab71d85651523121b1c999",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-06-23T05:45:02Z",
    "title_canon_sha256": "76fdfd63f9dc976090497754141e81c5397cabb8dc334a43bf93c628088b55a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.4633",
    "kind": "arxiv",
    "version": 2
  }
}