Pith Number

pith:7YFYBVCT

pith:2017:7YFYBVCT4OPQ5QSNQEIXBNBEQ2

not attested not anchored not stored refs pending

Maximum Likelihood Threshold and Generic Completion Rank of Graphs

Grigoriy Blekherman, Rainer Sinn

arxiv:1703.07849 v2 · 2017-03-22 · math.CO · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7YFYBVCT4OPQ5QSNQEIXBNBEQ2}

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	2026-05-18T00:43:51.284775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe0b80d453e39f0ec24d811170b424868625b01209e670c6b257809057576af9

Aliases

arxiv: 1703.07849 · arxiv_version: 1703.07849v2 · doi: 10.48550/arxiv.1703.07849 · pith_short_12: 7YFYBVCT4OPQ · pith_short_16: 7YFYBVCT4OPQ5QSN · pith_short_8: 7YFYBVCT

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/7YFYBVCT4OPQ5QSNQEIXBNBEQ2 \
  | 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: fe0b80d453e39f0ec24d811170b424868625b01209e670c6b257809057576af9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c755af9e809a6a8bed4ab14b03b206256d2f6bf6e80613e88883869cede0273",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-03-22T21:00:31Z",
    "title_canon_sha256": "7fe603e1a499acc16588e5887fc5f5c8512e025788d288bc01c5e8c86a0988a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07849",
    "kind": "arxiv",
    "version": 2
  }
}