Pith Number

pith:E7WL22SJ

pith:2006:E7WL22SJMOPQRAGRBGC4ACFIUQ

not attested not anchored not stored refs pending

Finite descent obstructions and rational points on curves

Michael Stoll

arxiv:math/0606465 v3 · 2006-06-19 · 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{E7WL22SJMOPQRAGRBGC4ACFIUQ}

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	2026-05-18T01:10:00.378804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ecbd6a49639f0880d10985c008a8a419b2511c340375805f8baf4967a087a4

Aliases

arxiv: math/0606465 · arxiv_version: math/0606465v3 · doi: 10.48550/arxiv.math/0606465 · pith_short_12: E7WL22SJMOPQ · pith_short_16: E7WL22SJMOPQRAGR · pith_short_8: E7WL22SJ

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/E7WL22SJMOPQRAGRBGC4ACFIUQ \
  | 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: 27ecbd6a49639f0880d10985c008a8a419b2511c340375805f8baf4967a087a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9579c50b6c7e2149527629287767acfb6fe11b3a1b5a94d891e2141c4717ea5c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-06-19T16:02:44Z",
    "title_canon_sha256": "8519aaf66624f5880ad1affcf9f73dda699fe75796bdc33071a327fac5021199"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606465",
    "kind": "arxiv",
    "version": 3
  }
}