Pith Number

pith:IQ5I5I4V

pith:2010:IQ5I5I4VX4Z5AXGT6LV67LB4MZ

not attested not anchored not stored refs pending

Parity conjectures for elliptic curves over global fields of positive characteristic

Christian Wuthrich, Fabien Trihan

arxiv:1011.2991 v2 · 2010-11-12 · 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{IQ5I5I4VX4Z5AXGT6LV67LB4MZ}

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	2026-05-17T23:53:19.608051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

443a8ea395bf33d05cd3f2ebefac3c665b2eea28369cc354f6d24a672427f1b5

Aliases

arxiv: 1011.2991 · arxiv_version: 1011.2991v2 · doi: 10.48550/arxiv.1011.2991 · pith_short_12: IQ5I5I4VX4Z5 · pith_short_16: IQ5I5I4VX4Z5AXGT · pith_short_8: IQ5I5I4V

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/IQ5I5I4VX4Z5AXGT6LV67LB4MZ \
  | 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: 443a8ea395bf33d05cd3f2ebefac3c665b2eea28369cc354f6d24a672427f1b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98c263ab06c57e1dd9d2e82e87ae498dfa8b9ed5af7049fb54eb5fdf59688c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-12T17:17:04Z",
    "title_canon_sha256": "7deff5b62404a2a5688c14eaef98baf64495d19791bee08fc45f6f00a20077f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.2991",
    "kind": "arxiv",
    "version": 2
  }
}