Pith Number

pith:LBIYJ7QF

pith:2013:LBIYJ7QFK6353NBLTCJ7HPVESY

not attested not anchored not stored refs pending

A ternary construction of lattices

Hao Chen

arxiv:1306.1432 v8 · 2013-06-06 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBIYJ7QFK6353NBLTCJ7HPVESY}

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	2026-05-18T02:18:52.053325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

585184fe0557b7ddb42b9893f3bea49609da44396a6b44f99dbecafbecd04af8

Aliases

arxiv: 1306.1432 · arxiv_version: 1306.1432v8 · doi: 10.48550/arxiv.1306.1432 · pith_short_12: LBIYJ7QFK635 · pith_short_16: LBIYJ7QFK6353NBL · pith_short_8: LBIYJ7QF

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/LBIYJ7QFK6353NBLTCJ7HPVESY \
  | 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: 585184fe0557b7ddb42b9893f3bea49609da44396a6b44f99dbecafbecd04af8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6974d423f80c12720ac47b8d6b7f7da42132cdcdf11a251b3375d5eeb70487e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-06-06T15:14:41Z",
    "title_canon_sha256": "2852cadba63a3de4bb5741444cd3ebfc1d5930f5115e2603ecd5d607a8582e65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1432",
    "kind": "arxiv",
    "version": 8
  }
}