Pith Number

pith:53LNXFEA

pith:2007:53LNXFEAUMONJ4GMPJVUZW3SY4

not attested not anchored not stored refs pending

Lower bounds on the coefficients of Ehrhart polynomials

Makoto Tagami, Martin Henk

arxiv:0710.2665 v2 · 2007-10-14 · math.MG · 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{53LNXFEAUMONJ4GMPJVUZW3SY4}

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	2026-07-04T15:09:46.459162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eed6db9480a31cd4f0cc7a6b4cdb72c737d317f832fd3653405218f09bf0210f

Aliases

arxiv: 0710.2665 · arxiv_version: 0710.2665v2 · doi: 10.48550/arxiv.0710.2665 · pith_short_12: 53LNXFEAUMON · pith_short_16: 53LNXFEAUMONJ4GM · pith_short_8: 53LNXFEA

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/53LNXFEAUMONJ4GMPJVUZW3SY4 \
  | 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: eed6db9480a31cd4f0cc7a6b4cdb72c737d317f832fd3653405218f09bf0210f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5341a0b08e612c19eabc6c98e963c7ea34e69bfa7cd0d642623399632d790c21",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.MG",
    "submitted_at": "2007-10-14T14:14:41Z",
    "title_canon_sha256": "b9c521016fcf885a251da22ebcde595343311aa5f1b2cca37e78177b9c076a0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2665",
    "kind": "arxiv",
    "version": 2
  }
}