Pith Number

pith:NAKXMHXN

pith:2011:NAKXMHXNH2CMBMD6KOAELJCCXJ

not attested not anchored not stored refs pending

Euler factors determine local Weil representations

Tim Dokchitser, Vladimir Dokchitser

arxiv:1112.4889 v1 · 2011-12-20 · 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{NAKXMHXNH2CMBMD6KOAELJCCXJ}

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	2026-05-18T04:05:56.970048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6815761eed3e84c0b07e538045a442ba7d6322b152db4e9d5c5cf00f63185529

Aliases

arxiv: 1112.4889 · arxiv_version: 1112.4889v1 · doi: 10.48550/arxiv.1112.4889 · pith_short_12: NAKXMHXNH2CM · pith_short_16: NAKXMHXNH2CMBMD6 · pith_short_8: NAKXMHXN

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/NAKXMHXNH2CMBMD6KOAELJCCXJ \
  | 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: 6815761eed3e84c0b07e538045a442ba7d6322b152db4e9d5c5cf00f63185529

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ce04c23af36394b711719bf280ce235f4d6b6698d064c6961f8e9427ba41c11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-20T23:46:56Z",
    "title_canon_sha256": "7a60a2de46115325871ceedd5362e641681adac1e3a6a1a850c8687379a85df2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4889",
    "kind": "arxiv",
    "version": 1
  }
}