Pith Number

pith:PBMCCWEP

pith:2015:PBMCCWEPWZTIHJM6KQCBOF3GB4

not attested not anchored not stored refs pending

The Propus Construction for Symmetric Hadamard Matrices

Jennifer Seberry, N. A. Balonin

arxiv:1512.01732 v1 · 2015-12-06 · 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{PBMCCWEPWZTIHJM6KQCBOF3GB4}

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	2026-05-18T01:25:10.485359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

785821588fb66683a59e54041717660f3e3e403466e8f049bea63ffeb4a000a5

Aliases

arxiv: 1512.01732 · arxiv_version: 1512.01732v1 · doi: 10.48550/arxiv.1512.01732 · pith_short_12: PBMCCWEPWZTI · pith_short_16: PBMCCWEPWZTIHJM6 · pith_short_8: PBMCCWEP

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/PBMCCWEPWZTIHJM6KQCBOF3GB4 \
  | 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: 785821588fb66683a59e54041717660f3e3e403466e8f049bea63ffeb4a000a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e20ee6531fdcf282c835474b2158f714d43a6c5f536e93447ea469790009416",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-06T03:46:40Z",
    "title_canon_sha256": "5fa8bf2d6329fa1285ea547bd80b7ae04c341fc2d758161eb91e07520191716f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01732",
    "kind": "arxiv",
    "version": 1
  }
}