Pith Number

pith:ZB2W6BJV

pith:2014:ZB2W6BJVPL3RO5G4F7JA2YOSFX

not attested not anchored not stored refs pending

Square-root cancellation for the signs of Latin squares

Levent Alpoge

arxiv:1412.7574 v1 · 2014-12-23 · 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{ZB2W6BJVPL3RO5G4F7JA2YOSFX}

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	2026-05-18T02:30:33.491210Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8756f05357af71774dc2fd20d61d22dd623c64e3122c9b3ad453ab66b4159fa

Aliases

arxiv: 1412.7574 · arxiv_version: 1412.7574v1 · doi: 10.48550/arxiv.1412.7574 · pith_short_12: ZB2W6BJVPL3R · pith_short_16: ZB2W6BJVPL3RO5G4 · pith_short_8: ZB2W6BJV

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/ZB2W6BJVPL3RO5G4F7JA2YOSFX \
  | 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: c8756f05357af71774dc2fd20d61d22dd623c64e3122c9b3ad453ab66b4159fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "398330a65f2d525f18d01304b7392a040dd46ef88a13bde2f3f6f114f49d288f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-23T23:46:51Z",
    "title_canon_sha256": "95ebc4a7e24d35ee331b33be58650ff9a5a922f41548777c05c7c8124916d809"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7574",
    "kind": "arxiv",
    "version": 1
  }
}