Pith Number

pith:TDGWKO4R

pith:2012:TDGWKO4RU7ZXD7P4QIS7QY2UKV

not attested not anchored not stored refs pending

Hurwitz - Bernoulli Numbers, Formal Groups and the L - Functions of Elliptic Curves

H. Gopalakrishna Gadiyar, R. Padma

arxiv:1201.6125 v1 · 2012-01-30 · 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{TDGWKO4RU7ZXD7P4QIS7QY2UKV}

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	2026-05-18T04:03:33.636885Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98cd653b91a7f371fdfc8225f86354556ab7e33bb38be40000a84bf00365fe38

Aliases

arxiv: 1201.6125 · arxiv_version: 1201.6125v1 · doi: 10.48550/arxiv.1201.6125 · pith_short_12: TDGWKO4RU7ZX · pith_short_16: TDGWKO4RU7ZXD7P4 · pith_short_8: TDGWKO4R

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/TDGWKO4RU7ZXD7P4QIS7QY2UKV \
  | 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: 98cd653b91a7f371fdfc8225f86354556ab7e33bb38be40000a84bf00365fe38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bf4096f5726eb75f8982b15c9e6a8d3ad218425e693c8e8ff3955fdd42529eb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-30T07:58:59Z",
    "title_canon_sha256": "49d99c453a307df1ed55be7c2013a9a0b1bab9508850f3f0fd01c3af0c4f762a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6125",
    "kind": "arxiv",
    "version": 1
  }
}