Pith Number

pith:AGRB6B4I

pith:2012:AGRB6B4IZQ7VBDVCFNEAPNSVHD

not attested not anchored not stored refs pending

Approximation forte en famille

David Harari, Jean-Louis Colliot-Th\'el\`ene

arxiv:1209.0717 v3 · 2012-09-04 · math.NT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AGRB6B4IZQ7VBDVCFNEAPNSVHD}

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	2026-05-18T03:18:26.728907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01a21f0788cc3f508ea22b4807b65538d4440317344957031df54910b7123596

Aliases

arxiv: 1209.0717 · arxiv_version: 1209.0717v3 · doi: 10.48550/arxiv.1209.0717 · pith_short_12: AGRB6B4IZQ7V · pith_short_16: AGRB6B4IZQ7VBDVC · pith_short_8: AGRB6B4I

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/AGRB6B4IZQ7VBDVCFNEAPNSVHD \
  | 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: 01a21f0788cc3f508ea22b4807b65538d4440317344957031df54910b7123596

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9b0c1e45fe159cde2a5d8468d10826a79ccd96befc2594807320a873bfcd5ea",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-09-04T17:57:38Z",
    "title_canon_sha256": "e6b7bde499a7ccec3275fedb579662c4dd2800eca846c68466fd6010c29046fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0717",
    "kind": "arxiv",
    "version": 3
  }
}