Pith Number

pith:XYMRY7UZ

pith:2003:XYMRY7UZQQIGWS6RMZJMDVVWQB

not attested not anchored not stored refs pending

On the Arakelov theory of elliptic curves

Robin de Jong

arxiv:math/0312359 v2 · 2003-12-18 · math.NT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XYMRY7UZQQIGWS6RMZJMDVVWQB}

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	2026-05-18T03:59:12.583721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be191c7e9984106b4bd16652c1d6b68069e4756b4f070f5b94baa1384e0b9cd2

Aliases

arxiv: math/0312359 · arxiv_version: math/0312359v2 · doi: 10.48550/arxiv.math/0312359 · pith_short_12: XYMRY7UZQQIG · pith_short_16: XYMRY7UZQQIGWS6R · pith_short_8: XYMRY7UZ

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/XYMRY7UZQQIGWS6RMZJMDVVWQB \
  | 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: be191c7e9984106b4bd16652c1d6b68069e4756b4f070f5b94baa1384e0b9cd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d01340ebfdbe2852ff534da059c51a6e9eec3c5adc93b6e01beb5371bc2e01f",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2003-12-18T13:41:48Z",
    "title_canon_sha256": "f82358db8394de025fcc403911adc7e80694e9c7279ae40d700a6f9f0594c821"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312359",
    "kind": "arxiv",
    "version": 2
  }
}