Pith Number

pith:4EUBQHJR

pith:2011:4EUBQHJRBJZELX5UCUNBXAUAEE

not attested not anchored not stored refs pending

Density of values of linear maps on quadratic surfaces

Oliver Sargent

arxiv:1111.4428 v3 · 2011-11-18 · 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{4EUBQHJRBJZELX5UCUNBXAUAEE}

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	2026-05-18T03:35:14.314913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e128181d310a7245dfb4151a1b828021307d3812be37ac529b34e9b4e4f2261a

Aliases

arxiv: 1111.4428 · arxiv_version: 1111.4428v3 · doi: 10.48550/arxiv.1111.4428 · pith_short_12: 4EUBQHJRBJZE · pith_short_16: 4EUBQHJRBJZELX5U · pith_short_8: 4EUBQHJR

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/4EUBQHJRBJZELX5UCUNBXAUAEE \
  | 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: e128181d310a7245dfb4151a1b828021307d3812be37ac529b34e9b4e4f2261a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d4dd6521749b6c4865043058b30a5c33f37ee1e92cd28c187cead5d1ed01325",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-11-18T17:04:16Z",
    "title_canon_sha256": "b997c7823ca75bd381ac380e2ec37937fd7108a98d3b3070b7a9a3c1a20eb21d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4428",
    "kind": "arxiv",
    "version": 3
  }
}