Pith Number

pith:BDUBEXD4

pith:2014:BDUBEXD4CYLAJKSL6JNHHMR4KH

not attested not anchored not stored refs pending

An Invitation to Ehrhart Theory: Polyhedral Geometry and its Applications in Enumerative Combinatorics

Felix Breuer

arxiv:1405.7647 v2 · 2014-05-29 · 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{BDUBEXD4CYLAJKSL6JNHHMR4KH}

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	2026-05-18T02:47:07.055284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08e8125c7c161604aa4bf25a73b23c51d21ff7e19ca58f7e703d772e06c8a144

Aliases

arxiv: 1405.7647 · arxiv_version: 1405.7647v2 · doi: 10.48550/arxiv.1405.7647 · pith_short_12: BDUBEXD4CYLA · pith_short_16: BDUBEXD4CYLAJKSL · pith_short_8: BDUBEXD4

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/BDUBEXD4CYLAJKSL6JNHHMR4KH \
  | 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: 08e8125c7c161604aa4bf25a73b23c51d21ff7e19ca58f7e703d772e06c8a144

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229c7040f74bfce2698dddd1bdbc01b4c735f92268e686eb3dcaa62a249f50e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-29T18:40:26Z",
    "title_canon_sha256": "8ef6863aa0d475c0d0c533e58636ca44d7b492f0935325f7d3c3e3a4dc85a4ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.7647",
    "kind": "arxiv",
    "version": 2
  }
}