Pith Number

pith:OHJA6FTA

pith:2010:OHJA6FTAAMQ4Z3CEE725VZSNJK

not attested not anchored not stored refs pending

Approximation to points in the plane by SL(2,Z)-orbits

Arnaldo Nogueira, Michel Laurent

arxiv:1004.1326 v1 · 2010-04-08 · 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{OHJA6FTAAMQ4Z3CEE725VZSNJK}

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	2026-05-18T02:58:02.284122Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71d20f16600321ccec4427f5dae64d4a904094179f1b5698f2637ec142681506

Aliases

arxiv: 1004.1326 · arxiv_version: 1004.1326v1 · doi: 10.48550/arxiv.1004.1326 · pith_short_12: OHJA6FTAAMQ4 · pith_short_16: OHJA6FTAAMQ4Z3CE · pith_short_8: OHJA6FTA

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/OHJA6FTAAMQ4Z3CEE725VZSNJK \
  | 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: 71d20f16600321ccec4427f5dae64d4a904094179f1b5698f2637ec142681506

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1210fa0cc5adf9341edab0fba14a897407be1a1b821798c13c2a3a6acb8f3e2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-04-08T13:14:19Z",
    "title_canon_sha256": "9ea307ff10491a19d9af75a723b68bd3740eb6399252e3ce0469ff004daafb30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.1326",
    "kind": "arxiv",
    "version": 1
  }
}