Pith Number

pith:ERFM3R54

pith:2010:ERFM3R54BVXEOKUM3ZQFGPMFBG

not attested not anchored not stored refs pending

On the pre-image of a point under an isogeny and Siegel's theorem

Jonathan Reynolds

arxiv:1009.0807 v3 · 2010-09-04 · 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{ERFM3R54BVXEOKUM3ZQFGPMFBG}

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	2026-05-18T04:37:32.872199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

244acdc7bc0d6e472a8cde60533d85098c1f711f61880984b935c313763945c1

Aliases

arxiv: 1009.0807 · arxiv_version: 1009.0807v3 · doi: 10.48550/arxiv.1009.0807 · pith_short_12: ERFM3R54BVXE · pith_short_16: ERFM3R54BVXEOKUM · pith_short_8: ERFM3R54

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/ERFM3R54BVXEOKUM3ZQFGPMFBG \
  | 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: 244acdc7bc0d6e472a8cde60533d85098c1f711f61880984b935c313763945c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e7b14f6b71207db76f66f4201f8c5014fdb852b934172c92db2eaeb9499cc031",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-04T06:13:21Z",
    "title_canon_sha256": "83f2d605a9e2a538f6eda0a4561dec50bf4a8b460d55270f801305142a2a82f9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.0807",
    "kind": "arxiv",
    "version": 3
  }
}