Pith Number

pith:YJFDSQTP

pith:2025:YJFDSQTPHCFY733BCWK45PFBBP

not attested not anchored not stored refs pending

On the magic positivity of Ehrhart polynomials of dilated polytopes

Masato Konoike

arxiv:2504.21395 v1 · 2025-04-30 · 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{YJFDSQTPHCFY733BCWK45PFBBP}

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	2026-07-05T10:56:23.266988Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c24a39426f388b8fef611595cebca10bc2e75631c5681a94cddfd77943b96615

Aliases

arxiv: 2504.21395 · arxiv_version: 2504.21395v1 · doi: 10.48550/arxiv.2504.21395 · pith_short_12: YJFDSQTPHCFY · pith_short_16: YJFDSQTPHCFY733B · pith_short_8: YJFDSQTP

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/YJFDSQTPHCFY733BCWK45PFBBP \
  | 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: c24a39426f388b8fef611595cebca10bc2e75631c5681a94cddfd77943b96615

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "652226f5249184eefcd520ca49d08310d8d2258542b86d06def6fc3cb564cb09",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-04-30T07:52:06Z",
    "title_canon_sha256": "eac595cea12afb19ba0643d7f5a3f2699cd4539ffcc3acc4843595c376e61dfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.21395",
    "kind": "arxiv",
    "version": 1
  }
}