Pith Number

pith:JG3QLZBL

pith:2012:JG3QLZBLU7M4XL2VUN4U4XBWDE

not attested not anchored not stored refs pending

Diagonalizations of dense families

Boaz Tsaban, Bruno Antonio Pansera, Filippo Cammaroto, Maddalena Bonanzinga

arxiv:1207.4025 v2 · 2012-07-17 · math.GN · math.FA · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JG3QLZBLU7M4XL2VUN4U4XBWDE}

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	2026-05-18T03:49:57.735325Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49b705e42ba7d9cbaf55a3794e5c361908506f02d7ae039b5942bd50bfb7984a

Aliases

arxiv: 1207.4025 · arxiv_version: 1207.4025v2 · doi: 10.48550/arxiv.1207.4025 · pith_short_12: JG3QLZBLU7M4 · pith_short_16: JG3QLZBLU7M4XL2V · pith_short_8: JG3QLZBL

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/JG3QLZBLU7M4XL2VUN4U4XBWDE \
  | 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: 49b705e42ba7d9cbaf55a3794e5c361908506f02d7ae039b5942bd50bfb7984a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb4269015f8ea756448759501e4da30f938ba1b79b493b267e43356f182b2f1",
    "cross_cats_sorted": [
      "math.FA",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2012-07-17T15:14:49Z",
    "title_canon_sha256": "5f024af7d43e287c65a896a9b947633f2f980aa567400f862c3656d61b96e477"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.4025",
    "kind": "arxiv",
    "version": 2
  }
}