Pith Number

pith:ARO3ZPCI

pith:2015:ARO3ZPCICYHJWHAXGKCUIVGCQK

not attested not anchored not stored refs pending

Normal Binary Hierarchical Models

Daniel Irving Bernstein, Seth Sullivant

arxiv:1508.05461 v2 · 2015-08-22 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ARO3ZPCICYHJWHAXGKCUIVGCQK}

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	2026-05-18T01:23:16.202749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

045dbcbc48160e9b1c1732854454c282a5050b4b03c0c96c457080bf59eb9317

Aliases

arxiv: 1508.05461 · arxiv_version: 1508.05461v2 · doi: 10.48550/arxiv.1508.05461 · pith_short_12: ARO3ZPCICYHJ · pith_short_16: ARO3ZPCICYHJWHAX · pith_short_8: ARO3ZPCI

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/ARO3ZPCICYHJWHAXGKCUIVGCQK \
  | 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: 045dbcbc48160e9b1c1732854454c282a5050b4b03c0c96c457080bf59eb9317

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e773cea784e65c72c5e2fdcb0372f98864e9c4135979c47fd4044e384e12e46a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-22T03:11:01Z",
    "title_canon_sha256": "6c81eae74b71c0214eeea3e921e4562ad9844414abce3b751c00ee694f63054e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.05461",
    "kind": "arxiv",
    "version": 2
  }
}