Pith Number

pith:O3YSJUV5

pith:2015:O3YSJUV5DIAGT2EYIEFSM6LUIC

not attested not anchored not stored refs pending

Ehrhart polynomial for lattice squares, cubes and hypercubes

Eugen J. Ionascu

arxiv:1508.03643 v2 · 2015-08-14 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O3YSJUV5DIAGT2EYIEFSM6LUIC}

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	2026-05-18T01:18:57.295506Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f124d2bd1a0069e898410b26797440908edba63aba90da75989f3c3070848e

Aliases

arxiv: 1508.03643 · arxiv_version: 1508.03643v2 · doi: 10.48550/arxiv.1508.03643 · pith_short_12: O3YSJUV5DIAG · pith_short_16: O3YSJUV5DIAGT2EY · pith_short_8: O3YSJUV5

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/O3YSJUV5DIAGT2EYIEFSM6LUIC \
  | 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: 76f124d2bd1a0069e898410b26797440908edba63aba90da75989f3c3070848e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2cec46dceb74503a2c35e91d30647cf46274fc3ab50ef5bad58c7f2cfbe4391",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-14T20:07:58Z",
    "title_canon_sha256": "8c2e2eaeb96f1b92e47f43cc2089679947e53523d4ce4cb2c682141c93083f3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03643",
    "kind": "arxiv",
    "version": 2
  }
}