Pith Number

pith:HQ64QZCA

pith:2015:HQ64QZCAGOWQX7H45WIF2IRWZQ

not attested not anchored not stored refs pending

An LR pair that can be extended to an LR triple

Kazumasa Nomura

arxiv:1512.03840 v1 · 2015-12-11 · 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{HQ64QZCAGOWQX7H45WIF2IRWZQ}

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	2026-05-18T01:24:23.869353Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3dc8644033ad0bfcfced905d2236cc1d4f084c480b311d22a5cd8079ab2fad

Aliases

arxiv: 1512.03840 · arxiv_version: 1512.03840v1 · doi: 10.48550/arxiv.1512.03840 · pith_short_12: HQ64QZCAGOWQ · pith_short_16: HQ64QZCAGOWQX7H4 · pith_short_8: HQ64QZCA

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/HQ64QZCAGOWQX7H45WIF2IRWZQ \
  | 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: 3c3dc8644033ad0bfcfced905d2236cc1d4f084c480b311d22a5cd8079ab2fad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27ffd26cb4eff9d18754b33850ee66247176f4b45f4d91470279ac232e1f0cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2015-12-11T22:19:49Z",
    "title_canon_sha256": "c9e49cb2262d31588f169a12c456e38f8c5420fc97184b42221d244c343c6e48"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03840",
    "kind": "arxiv",
    "version": 1
  }
}