Pith Number

pith:XVVI6VCF

pith:2012:XVVI6VCF25BNESYA7L7MTXYLJD

not attested not anchored not stored refs pending

Formes modulaires modulo 2 : l'ordre de nilpotence des op\'erateurs de Hecke

Jean-Louis Nicolas, Jean-Pierre Serre

arxiv:1204.1036 v2 · 2012-04-04 · 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{XVVI6VCF25BNESYA7L7MTXYLJD}

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	2026-05-18T03:43:18.246686Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd6a8f5445d742d24b00fafec9df0b48efeb27c7ed4b4f5eeff5fd2b5936e7c1

Aliases

arxiv: 1204.1036 · arxiv_version: 1204.1036v2 · doi: 10.48550/arxiv.1204.1036 · pith_short_12: XVVI6VCF25BN · pith_short_16: XVVI6VCF25BNESYA · pith_short_8: XVVI6VCF

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/XVVI6VCF25BNESYA7L7MTXYLJD \
  | 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: bd6a8f5445d742d24b00fafec9df0b48efeb27c7ed4b4f5eeff5fd2b5936e7c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3311b7c031e68185232c884d1d8671521f81c961089794dfc12cdd6f9a1e3cc9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-04-04T19:07:42Z",
    "title_canon_sha256": "242fc5e3ca63b6b3e2d40716e3546482d818e6774e1cd3eda869a96beebcea3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1036",
    "kind": "arxiv",
    "version": 2
  }
}