Pith Number

pith:ZE54MO5C

pith:2015:ZE54MO5CCCNUBV6EASDFF26J7Z

not attested not anchored not stored refs pending

Trilinear forms with Kloosterman fractions

Sandro Bettin, Vorrapan Chandee

arxiv:1502.00769 v1 · 2015-02-03 · 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{ZE54MO5CCCNUBV6EASDFF26J7Z}

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	2026-05-18T00:20:52.677957Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c93bc63ba2109b40d7c4048652ebc9fe71390141203ea6f16a9f64306f76508f

Aliases

arxiv: 1502.00769 · arxiv_version: 1502.00769v1 · doi: 10.48550/arxiv.1502.00769 · pith_short_12: ZE54MO5CCCNU · pith_short_16: ZE54MO5CCCNUBV6E · pith_short_8: ZE54MO5C

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/ZE54MO5CCCNUBV6EASDFF26J7Z \
  | 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: c93bc63ba2109b40d7c4048652ebc9fe71390141203ea6f16a9f64306f76508f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ddfe03570272fa123a51166e86cbdfb2e449363769fb8f93292b970ed69dff5f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-03T07:57:21Z",
    "title_canon_sha256": "839706935efbe6c3b0eee54fa9c39a1e103752c1552b92a6d63a5a71c544a0d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.00769",
    "kind": "arxiv",
    "version": 1
  }
}