Pith Number

pith:PAD2J3X3

pith:2015:PAD2J3X3N2QJB4CWEK3A5XUA66

not attested not anchored not stored refs pending

Integer points and their orthogonal lattices

Manfred Einsiedler, Menny Aka, Uri Shapira

arxiv:1502.04209 v1 · 2015-02-14 · math.NT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PAD2J3X3N2QJB4CWEK3A5XUA66}

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	2026-05-18T00:54:41.742849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7807a4eefb6ea090f05622b60ede80f798b7a62e95c10606d6f5fc00cacbc50f

Aliases

arxiv: 1502.04209 · arxiv_version: 1502.04209v1 · doi: 10.48550/arxiv.1502.04209 · pith_short_12: PAD2J3X3N2QJ · pith_short_16: PAD2J3X3N2QJB4CW · pith_short_8: PAD2J3X3

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/PAD2J3X3N2QJB4CWEK3A5XUA66 \
  | 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: 7807a4eefb6ea090f05622b60ede80f798b7a62e95c10606d6f5fc00cacbc50f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3088a6b977ccc3c0735487b0d87f36bb0bd3927edd4b302fdbea95993238bc51",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-14T13:25:39Z",
    "title_canon_sha256": "aae8b59b0108b3ab5703d51678759faaba45b64f1e209c5d2175a1487af210e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04209",
    "kind": "arxiv",
    "version": 1
  }
}