Pith Number

pith:JGM3XBDO

pith:2013:JGM3XBDOOSF2CQAMNIGRF4532W

not attested not anchored not stored refs pending

Fixed points of the EM algorithm and nonnegative rank boundaries

Bernd Sturmfels, Elina Robeva, Kaie Kubjas

arxiv:1312.5634 v3 · 2013-12-19 · math.ST · math.AG · math.OC · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGM3XBDOOSF2CQAMNIGRF4532W}

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	2026-05-18T02:25:34.263949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4999bb846e748ba1400c6a0d12f3bbd58d049b4fed2b7d1ec562005b2d1492ad

Aliases

arxiv: 1312.5634 · arxiv_version: 1312.5634v3 · doi: 10.48550/arxiv.1312.5634 · pith_short_12: JGM3XBDOOSF2 · pith_short_16: JGM3XBDOOSF2CQAM · pith_short_8: JGM3XBDO

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/JGM3XBDOOSF2CQAMNIGRF4532W \
  | 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: 4999bb846e748ba1400c6a0d12f3bbd58d049b4fed2b7d1ec562005b2d1492ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22443f9d4b74cdc2826620a2ac04e28331a0dada2a8c4f15e5ec3d948173b3be",
    "cross_cats_sorted": [
      "math.AG",
      "math.OC",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.ST",
    "submitted_at": "2013-12-19T16:57:47Z",
    "title_canon_sha256": "1d53611d9a0b6d37adc5da6d7dcbf69959e3f065111dc705fa1ebfe398d78cc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5634",
    "kind": "arxiv",
    "version": 3
  }
}