Pith Number

pith:I4SLVV4V

pith:2014:I4SLVV4VZHDHMECWREQWP6HMPK

not attested not anchored not stored refs pending

Three Ehrhart Quasi-polynomials

Jes\'us A. De Loera, Matthias K\"oppe, Mich\`ele Vergne, Nicole Berline, Velleda Baldoni

arxiv:1410.8632 v4 · 2014-10-31 · 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{I4SLVV4VZHDHMECWREQWP6HMPK}

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	2026-05-18T00:00:33.079576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4724bad795c9c6761056892167f8ec7a96652b92a559101fd7927ce683daf0cc

Aliases

arxiv: 1410.8632 · arxiv_version: 1410.8632v4 · doi: 10.48550/arxiv.1410.8632 · pith_short_12: I4SLVV4VZHDH · pith_short_16: I4SLVV4VZHDHMECW · pith_short_8: I4SLVV4V

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/I4SLVV4VZHDHMECWREQWP6HMPK \
  | 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: 4724bad795c9c6761056892167f8ec7a96652b92a559101fd7927ce683daf0cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15020e9e923545879c5bc9b6644c10c8de667ddfac290edca557c8512695f051",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-10-31T04:29:47Z",
    "title_canon_sha256": "91991aae2929506a77b56abbc8c14eee0b6b900a829883bf3ad6c6ed11214993"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.8632",
    "kind": "arxiv",
    "version": 4
  }
}