Pith Number

pith:YWPY3S4K

pith:2023:YWPY3S4KKCXFGP3GF2TBW63YMT

not attested not anchored not stored refs pending

Examples and counterexamples in Ehrhart theory

Akihiro Higashitani, Luis Ferroni

arxiv:2307.10852 v4 · 2023-07-20 · math.CO · math.AC · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YWPY3S4KKCXFGP3GF2TBW63YMT}

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.

Cited by

3 papers in Pith

Polytopes and posets associated to preorders

Stretched Schubert coefficients are eventually quasi-polynomial

Boundary $h^\ast$-vectors and unimodular triangulations

Receipt and verification

First computed	2026-07-05T08:57:51.962213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c59f8dcb8a50ae533f662ea61b7b7864d70b8c6f75615f5ec7ce011c76399c17

Aliases

arxiv: 2307.10852 · arxiv_version: 2307.10852v4 · doi: 10.48550/arxiv.2307.10852 · pith_short_12: YWPY3S4KKCXF · pith_short_16: YWPY3S4KKCXFGP3G · pith_short_8: YWPY3S4K

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/YWPY3S4KKCXFGP3GF2TBW63YMT \
  | 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: c59f8dcb8a50ae533f662ea61b7b7864d70b8c6f75615f5ec7ce011c76399c17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac0bcba12bdbdeef8ee311d30eb76e17cfb94847b82598b1532a6cd372e7551e",
    "cross_cats_sorted": [
      "math.AC",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2023-07-20T13:14:52Z",
    "title_canon_sha256": "f5a13b69e4c06861b8a2dcf432e6052f88f282f487c7a3c1f373cbf77886bd94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2307.10852",
    "kind": "arxiv",
    "version": 4
  }
}