Pith Number

pith:TT36ATXA

pith:2014:TT36ATXAGNE3W26SQSCE43NXSV

not attested not anchored not stored refs pending

Ehrhart series, unimodality, and integrally closed reflexive polytopes

Benjamin Braun, Robert Davis

arxiv:1403.5378 v3 · 2014-03-21 · 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{TT36ATXAGNE3W26SQSCE43NXSV}

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	2026-05-18T02:44:08.275170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9cf7e04ee03349bb6bd284844e6db7955da10d0374ca987cfbb85279058100f0

Aliases

arxiv: 1403.5378 · arxiv_version: 1403.5378v3 · doi: 10.48550/arxiv.1403.5378 · pith_short_12: TT36ATXAGNE3 · pith_short_16: TT36ATXAGNE3W26S · pith_short_8: TT36ATXA

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/TT36ATXAGNE3W26SQSCE43NXSV \
  | 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: 9cf7e04ee03349bb6bd284844e6db7955da10d0374ca987cfbb85279058100f0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5180a1fc56e6e3479665c9a7475f338a78c5818e7e7a17c89551e4a5a6d200a4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-21T06:39:41Z",
    "title_canon_sha256": "58342b5d6b476faa8470a72bfa95068cd67c03f17a3c6e339b7fb663b00dad6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.5378",
    "kind": "arxiv",
    "version": 3
  }
}