Pith Number

pith:LIT4BE66

pith:2010:LIT4BE66HTNC6ELOWFIRZWDZOG

not attested not anchored not stored refs pending

The twisting representation of the $L$-function of a curve

Francesc Fit\'e, Joan-C. Lario

arxiv:1012.3393 v2 · 2010-12-15 · 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{LIT4BE66HTNC6ELOWFIRZWDZOG}

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	2026-05-18T03:39:16.890105Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5a27c093de3cda2f116eb1511cd87971b95a3b8765ad0cb2b1fbfdb0e948222a

Aliases

arxiv: 1012.3393 · arxiv_version: 1012.3393v2 · doi: 10.48550/arxiv.1012.3393 · pith_short_12: LIT4BE66HTNC · pith_short_16: LIT4BE66HTNC6ELO · pith_short_8: LIT4BE66

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/LIT4BE66HTNC6ELOWFIRZWDZOG \
  | 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: 5a27c093de3cda2f116eb1511cd87971b95a3b8765ad0cb2b1fbfdb0e948222a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c55051a4cea3b0ed4151c3c2bbc5da79cf25238febd23f4fc5c9c6cb15b54f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-12-15T17:21:08Z",
    "title_canon_sha256": "fe8a818da64e41e7231c01ff81ecc2d49da35c1edff86fa09f872345dc801f19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3393",
    "kind": "arxiv",
    "version": 2
  }
}