Pith Number

pith:XNBKUOKF

pith:2009:XNBKUOKFYONU5526U3GAJA2TAN

not attested not anchored not stored refs pending

Weak Approximation over Function Fields of Curves over Large or Finite Fields

Yong Hu

arxiv:0907.2529 v4 · 2009-07-15 · math.AG · 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{XNBKUOKFYONU5526U3GAJA2TAN}

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	2026-05-18T04:38:15.658502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb42aa3945c39b4ef75ea6cc04835303595802a10273fc43184d53df18c5d80e

Aliases

arxiv: 0907.2529 · arxiv_version: 0907.2529v4 · doi: 10.48550/arxiv.0907.2529 · pith_short_12: XNBKUOKFYONU · pith_short_16: XNBKUOKFYONU5526 · pith_short_8: XNBKUOKF

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/XNBKUOKFYONU5526U3GAJA2TAN \
  | 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: bb42aa3945c39b4ef75ea6cc04835303595802a10273fc43184d53df18c5d80e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fca40730b240acba35091f824f127baccf185507f66140f9f30b06cd6adc3c16",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-07-15T08:44:56Z",
    "title_canon_sha256": "95bb5795291b9d5a3591fc724ac6c30943256fb532273faecadfe2e7a77adeea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.2529",
    "kind": "arxiv",
    "version": 4
  }
}