Pith Number

pith:Q5AC7OGX

pith:2006:Q5AC7OGXEG2ENYYLCLPEREJISZ

not attested not anchored not stored refs pending

On the representation of integers by quadratic forms

R. Dietmann, T.D. Browning

arxiv:math/0603358 v2 · 2006-03-14 · 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{Q5AC7OGXEG2ENYYLCLPEREJISZ}

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	2026-05-18T02:57:45.625671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87402fb8d721b446e30b12de489128965a5b7c38fa8a2f321a581c0953a46e25

Aliases

arxiv: math/0603358 · arxiv_version: math/0603358v2 · doi: 10.48550/arxiv.math/0603358 · pith_short_12: Q5AC7OGXEG2E · pith_short_16: Q5AC7OGXEG2ENYYL · pith_short_8: Q5AC7OGX

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/Q5AC7OGXEG2ENYYLCLPEREJISZ \
  | 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: 87402fb8d721b446e30b12de489128965a5b7c38fa8a2f321a581c0953a46e25

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f899bcc8eca506b1082d9b4e455301c072b63b80434dec0b95efec03aa3702",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-03-14T22:57:23Z",
    "title_canon_sha256": "4112371398f5398e25bb806e7b0a02a28521676b747c9918784a5c1fddd341e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0603358",
    "kind": "arxiv",
    "version": 2
  }
}