Pith Number

pith:CWND2SVZ

pith:2018:CWND2SVZMNJOPXMSCFF6HDBZNF

not attested not anchored not stored refs pending

Universal conditions on $h^*$-vectors of lattice simplices

Akihiro Higashitani

arxiv:1812.10123 v1 · 2018-12-25 · 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{CWND2SVZMNJOPXMSCFF6HDBZNF}

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	2026-05-17T23:57:25.030520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

159a3d4ab96352e7dd92114be38c396966bac4d7bcdc395224c85c2e116251b4

Aliases

arxiv: 1812.10123 · arxiv_version: 1812.10123v1 · doi: 10.48550/arxiv.1812.10123 · pith_short_12: CWND2SVZMNJO · pith_short_16: CWND2SVZMNJOPXMS · pith_short_8: CWND2SVZ

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/CWND2SVZMNJOPXMSCFF6HDBZNF \
  | 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: 159a3d4ab96352e7dd92114be38c396966bac4d7bcdc395224c85c2e116251b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "57f8e51a9915704c2ffa87aac18c4b0d137fe00ba12b221f2f6ae3c2727484de",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-12-25T15:33:14Z",
    "title_canon_sha256": "4c2a3b44acb84183910ef8d89769fde38427ffb1051e2d2b099a66b75c442988"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10123",
    "kind": "arxiv",
    "version": 1
  }
}