Pith Number

pith:SY3TYFED

pith:2013:SY3TYFEDXCNP63NZWMDF43GBMJ

not attested not anchored not stored refs pending

A diagrammatic approach to Kronecker squares

Ernesto Vallejo

arxiv:1310.8362 v2 · 2013-10-31 · 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{SY3TYFEDXCNP63NZWMDF43GBMJ}

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	2026-05-18T02:09:41.992731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

96373c1483b89aff6db9b3065e6cc1626f59476445599100ecb8f12782c058ab

Aliases

arxiv: 1310.8362 · arxiv_version: 1310.8362v2 · doi: 10.48550/arxiv.1310.8362 · pith_short_12: SY3TYFEDXCNP · pith_short_16: SY3TYFEDXCNP63NZ · pith_short_8: SY3TYFED

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/SY3TYFEDXCNP63NZWMDF43GBMJ \
  | 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: 96373c1483b89aff6db9b3065e6cc1626f59476445599100ecb8f12782c058ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb2e224346566ee18c015551d2fb5edaafa6bf1f3b979f708e76e1029f00e245",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-10-31T01:52:28Z",
    "title_canon_sha256": "515bbed41193a7b19f8341c4a03fc2abf6df517559a01eb96b9f31428a6f2549"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.8362",
    "kind": "arxiv",
    "version": 2
  }
}