Pith Number

pith:4PWMV7TZ

pith:2015:4PWMV7TZIM7D7INSBIOOZZJSYG

not attested not anchored not stored refs pending

Unimodular Binary Hierarchical Models

Daniel Irving Bernstein, Seth Sullivant

arxiv:1502.06131 v2 · 2015-02-21 · math.CO · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4PWMV7TZIM7D7INSBIOOZZJSYG}

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	2026-05-18T01:20:26.263072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3eccafe79433e3fa1b20a1cece532c1a9ce927fa7b2969b5a65cf27fa2b4b1c

Aliases

arxiv: 1502.06131 · arxiv_version: 1502.06131v2 · doi: 10.48550/arxiv.1502.06131 · pith_short_12: 4PWMV7TZIM7D · pith_short_16: 4PWMV7TZIM7D7INS · pith_short_8: 4PWMV7TZ

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/4PWMV7TZIM7D7INSBIOOZZJSYG \
  | 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: e3eccafe79433e3fa1b20a1cece532c1a9ce927fa7b2969b5a65cf27fa2b4b1c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "637386cad298c78e4f0fb6510c8bef805590b0fd2544e1d62c8ecb8488b4a3bb",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-02-21T19:08:33Z",
    "title_canon_sha256": "ec3913976e1125a480e2691e621750f9845febf242e84810d3d85882ad6385d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06131",
    "kind": "arxiv",
    "version": 2
  }
}