Pith Number

pith:PDUBZQM3

pith:2007:PDUBZQM3VDWXP7XJW4R3OFGGHO

not attested not anchored not stored refs pending

Binary linear forms as sums of two squares

R. de la Breteche, T.D. Browning

arxiv:0712.1918 v1 · 2007-12-12 · 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{PDUBZQM3VDWXP7XJW4R3OFGGHO}

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	2026-05-18T03:02:45.083437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78e81cc19ba8ed77fee9b723b714c63bb9db2759d8d4600db2ba7158a0f34afa

Aliases

arxiv: 0712.1918 · arxiv_version: 0712.1918v1 · doi: 10.48550/arxiv.0712.1918 · pith_short_12: PDUBZQM3VDWX · pith_short_16: PDUBZQM3VDWXP7XJ · pith_short_8: PDUBZQM3

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/PDUBZQM3VDWXP7XJW4R3OFGGHO \
  | 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: 78e81cc19ba8ed77fee9b723b714c63bb9db2759d8d4600db2ba7158a0f34afa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f533648937c12906497fe924c14542737a3b01eec60482f97957f45cf8eb97c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2007-12-12T12:19:04Z",
    "title_canon_sha256": "8754ba3185d9cb0f0489afe043a274e9577664f82c090c949309a22b529042af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.1918",
    "kind": "arxiv",
    "version": 1
  }
}