Pith Number

pith:4X2LOVKB

pith:2014:4X2LOVKBEYTB3QFAWXASMR4L4E

not attested not anchored not stored refs pending

Essentially Unique Representations by Certain Ternary Quadratic Forms

Alexander Berkovich, Frank Patane

arxiv:1404.2693 v2 · 2014-04-10 · 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{4X2LOVKBEYTB3QFAWXASMR4L4E}

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	2026-05-18T02:53:52.893281Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f4b7554126261dc0a0b5c126478be13df0a9184960421a260d2278b9095ac3

Aliases

arxiv: 1404.2693 · arxiv_version: 1404.2693v2 · doi: 10.48550/arxiv.1404.2693 · pith_short_12: 4X2LOVKBEYTB · pith_short_16: 4X2LOVKBEYTB3QFA · pith_short_8: 4X2LOVKB

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/4X2LOVKBEYTB3QFAWXASMR4L4E \
  | 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: e5f4b7554126261dc0a0b5c126478be13df0a9184960421a260d2278b9095ac3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "84ff3fde6140f6376da804cbd972195809c4ba327a6471f13bdc34ef290ca913",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-10T04:45:12Z",
    "title_canon_sha256": "4500f2f9e30cdc702a2e372eefb4b0b699cb26b2fb38745b497938e3cea00fe0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2693",
    "kind": "arxiv",
    "version": 2
  }
}