Pith Number

pith:XBP3G4S2

pith:2016:XBP3G4S2PXTTPPSTZ3N5B6U3RI

not attested not anchored not stored refs pending

Interlacing Ehrhart Polynomials of Reflexive Polytopes

Akihiro Higashitani, Mario Kummer, Mateusz Micha{\l}ek

arxiv:1612.07538 v1 · 2016-12-22 · 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{XBP3G4S2PXTTPPSTZ3N5B6U3RI}

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	2026-05-18T00:18:04.223154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b85fb3725a7de737be53cedbd0fa9b8a1ce3fd87ed77e8a5c426765daba8b632

Aliases

arxiv: 1612.07538 · arxiv_version: 1612.07538v1 · doi: 10.48550/arxiv.1612.07538 · pith_short_12: XBP3G4S2PXTT · pith_short_16: XBP3G4S2PXTTPPST · pith_short_8: XBP3G4S2

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/XBP3G4S2PXTTPPSTZ3N5B6U3RI \
  | 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: b85fb3725a7de737be53cedbd0fa9b8a1ce3fd87ed77e8a5c426765daba8b632

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df4003eeadc9fb2994e4252fd7ba5a91ecd54216b9c0b54611067f7659af5f6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-12-22T10:49:31Z",
    "title_canon_sha256": "ba412b3e19294fe3ead0be0c310b189d75525252d55985c45751a9ec7895ff70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07538",
    "kind": "arxiv",
    "version": 1
  }
}