Pith Number

pith:ELTIKOSL

pith:2004:ELTIKOSL7MM5YHM4ZCW4GJVTUI

not attested not anchored not stored refs pending

On elementary equivalence, isomorphism and isogeny of arithmetic function fields

Pete L. Clark

arxiv:math/0406133 v1 · 2004-06-08 · math.LO · 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{ELTIKOSL7MM5YHM4ZCW4GJVTUI}

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	2026-07-04T14:38:41.580257Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22e6853a4bfb19dc1d9cc8adc326b3a2327caa9ff5551f17501801e29b684232

Aliases

arxiv: math/0406133 · arxiv_version: math/0406133v1 · doi: 10.48550/arxiv.math/0406133 · pith_short_12: ELTIKOSL7MM5 · pith_short_16: ELTIKOSL7MM5YHM4 · pith_short_8: ELTIKOSL

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/ELTIKOSL7MM5YHM4ZCW4GJVTUI \
  | 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: 22e6853a4bfb19dc1d9cc8adc326b3a2327caa9ff5551f17501801e29b684232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7153a77d53c8c74d4aac3571bd0f5df30b89afe5ad4364fab258d1e174912871",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2004-06-08T01:30:56Z",
    "title_canon_sha256": "7915f0afff6a721bd009cb7c33f0448ba7551907cc5cade3fd1e28c09cf75172"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406133",
    "kind": "arxiv",
    "version": 1
  }
}