Pith Number

pith:A7WGKIPX

pith:2009:A7WGKIPXHB6BAJ5EIT5KG5Q27V

not attested not anchored not stored refs pending

Nonrational genus zero function fields and the Bruhat-Tits tree

Andreas Schweizer, A. W. Mason

arxiv:0909.0804 v1 · 2009-09-04 · math.GR · 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{A7WGKIPXHB6BAJ5EIT5KG5Q27V}

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	2026-05-18T01:03:12.288509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ec6521f7387c1027a444faa3761afd44b9b948d524582b24e003721635ca86

Aliases

arxiv: 0909.0804 · arxiv_version: 0909.0804v1 · doi: 10.48550/arxiv.0909.0804 · pith_short_12: A7WGKIPXHB6B · pith_short_16: A7WGKIPXHB6BAJ5E · pith_short_8: A7WGKIPX

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/A7WGKIPXHB6BAJ5EIT5KG5Q27V \
  | 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: 07ec6521f7387c1027a444faa3761afd44b9b948d524582b24e003721635ca86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3f2873f28c58cf0bd739f3bf746dc6c1bf0b1583c02ccf6cd983cdde0655420",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-09-04T03:27:13Z",
    "title_canon_sha256": "ae4d03e752abf954fb3a78ce060f1f7fa701d9a1b0319083a7f6966585b13ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0804",
    "kind": "arxiv",
    "version": 1
  }
}