Pith Number

pith:COIK73PL

pith:2022:COIK73PLVJJIY35LFQLG22WVJC

not attested not anchored not stored refs pending

Properties of Ehrhart Polynomials whose Roots Lie on the Critical Line

Max K\"olbl

arxiv:2207.08011 v1 · 2022-07-16 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{COIK73PLVJJIY35LFQLG22WVJC}

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	2026-07-05T04:40:59.904211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1390afedebaa528c6fab2c166d6ad548afed1144154a80f248b9324286779497

Aliases

arxiv: 2207.08011 · arxiv_version: 2207.08011v1 · doi: 10.48550/arxiv.2207.08011 · pith_short_12: COIK73PLVJJI · pith_short_16: COIK73PLVJJIY35L · pith_short_8: COIK73PL

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/COIK73PLVJJIY35LFQLG22WVJC \
  | 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: 1390afedebaa528c6fab2c166d6ad548afed1144154a80f248b9324286779497

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c5a57c51caecb24b08f4ad8c8e18bdff6f71c5018ba7460daef88ae26b23ef0",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-07-16T20:08:38Z",
    "title_canon_sha256": "98e0201da30f212be6658d197f9ba83e2799c6b84a94ff0aa62ad8db806a1199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.08011",
    "kind": "arxiv",
    "version": 1
  }
}