Pith Number

pith:CPQXVGRN

pith:2016:CPQXVGRNQKX5GA2MA2APF6VTMQ

not attested not anchored not stored refs pending

Sums of two ${s}$-units via frey-hellegouarch curves

Michael Bennett, Nicolas Billerey

arxiv:1603.07922 v2 · 2016-03-25 · 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{CPQXVGRNQKX5GA2MA2APF6VTMQ}

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	2026-05-18T01:13:53.609148Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13e17a9a2d82afd3034c0680f2fab36425bb2ceed63488c1033c65099d65003a

Aliases

arxiv: 1603.07922 · arxiv_version: 1603.07922v2 · doi: 10.48550/arxiv.1603.07922 · pith_short_12: CPQXVGRNQKX5 · pith_short_16: CPQXVGRNQKX5GA2M · pith_short_8: CPQXVGRN

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/CPQXVGRNQKX5GA2MA2APF6VTMQ \
  | 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: 13e17a9a2d82afd3034c0680f2fab36425bb2ceed63488c1033c65099d65003a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afd8ada58f4e8cd7d50adb859b4177ed2fa7b9678eb77d138d56b2bb8a11cfaf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-03-25T14:21:02Z",
    "title_canon_sha256": "0928a9cf46a4175f51a9aa871b1171762256024bab584dfadbdcc6af11e54764"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.07922",
    "kind": "arxiv",
    "version": 2
  }
}