Pith Number

pith:3M6W7Y5G

pith:2014:3M6W7Y5GMICE5B2WKNEVQOK2SZ

not attested not anchored not stored refs pending

Integer points on spheres and their orthogonal grids

Manfred Einsiedler, Menny Aka, Uri Shapira

arxiv:1411.1272 v2 · 2014-11-05 · 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{3M6W7Y5GMICE5B2WKNEVQOK2SZ}

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	2026-05-18T00:44:28.729437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db3d6fe3a662044e8756534958395a966aa835aabc3ad958330214bf7c3cee9a

Aliases

arxiv: 1411.1272 · arxiv_version: 1411.1272v2 · doi: 10.48550/arxiv.1411.1272 · pith_short_12: 3M6W7Y5GMICE · pith_short_16: 3M6W7Y5GMICE5B2W · pith_short_8: 3M6W7Y5G

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/3M6W7Y5GMICE5B2WKNEVQOK2SZ \
  | 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: db3d6fe3a662044e8756534958395a966aa835aabc3ad958330214bf7c3cee9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3482125070e9ed381512b189a358079f081919ecf733e337b94630ee9a39de52",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-11-05T13:45:53Z",
    "title_canon_sha256": "cb91c80c03462c86e3bbf61902aa192ccaba4c5b605456e195e4d494524554fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.1272",
    "kind": "arxiv",
    "version": 2
  }
}