Pith Number

pith:4KZZJLUH

pith:2019:4KZZJLUHCO46Q3QYVMDS6EC57L

not attested not anchored not stored refs pending

Orthogonal graphs modulo power of 2

Songpon Sriwongsa

arxiv:1901.00998 v1 · 2019-01-04 · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4KZZJLUHCO46Q3QYVMDS6EC57L}

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	2026-05-17T23:56:57.457406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2b394ae8713b9e86e18ab072f105dfaed3b8086f84d4a205b2b11db56ffb1ee

Aliases

arxiv: 1901.00998 · arxiv_version: 1901.00998v1 · doi: 10.48550/arxiv.1901.00998 · pith_short_12: 4KZZJLUHCO46 · pith_short_16: 4KZZJLUHCO46Q3QY · pith_short_8: 4KZZJLUH

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/4KZZJLUHCO46Q3QYVMDS6EC57L \
  | 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: e2b394ae8713b9e86e18ab072f105dfaed3b8086f84d4a205b2b11db56ffb1ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e84ba817d39d23e844fabe98d0bec041d606297abb5dee3d3135b822e4aece47",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-01-04T07:11:47Z",
    "title_canon_sha256": "d786e4f5b59b8039af5f83db6c2f8ce5b57a9e394501e0e08e4347ea336a4eec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.00998",
    "kind": "arxiv",
    "version": 1
  }
}