Pith Number

pith:IFFK6IM6

pith:2004:IFFK6IM6RSKJG5NNWDFRKAQ6XR

not attested not anchored not stored refs pending

Vanishing of L-functions of elliptic curves over number fields

Chantal David, Hershy Kisilevsky, Jack Fearnley

arxiv:math/0406012 v1 · 2004-06-01 · math.NT · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IFFK6IM6RSKJG5NNWDFRKAQ6XR}

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	2026-07-04T14:38:40.415339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414aaf219e8c949375adb0cb15021ebc4102aeaae87a047989a180c51a7720e7

Aliases

arxiv: math/0406012 · arxiv_version: math/0406012v1 · doi: 10.48550/arxiv.math/0406012 · pith_short_12: IFFK6IM6RSKJ · pith_short_16: IFFK6IM6RSKJG5NN · pith_short_8: IFFK6IM6

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/IFFK6IM6RSKJG5NNWDFRKAQ6XR \
  | 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: 414aaf219e8c949375adb0cb15021ebc4102aeaae87a047989a180c51a7720e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b59379c5a4dee7518e7a282a8491e31a3db5d669fca36310232320a3032a92d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2004-06-01T11:29:53Z",
    "title_canon_sha256": "dc56bf7faf30cb3112d8eaf5e76b7ea457777c8c3ed4f23ea01b6342f74ac01d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0406012",
    "kind": "arxiv",
    "version": 1
  }
}