Pith Number

pith:PFJJ6ECY

pith:2012:PFJJ6ECYDKRBUFBLMBZF45RYP6

not attested not anchored not stored refs pending

The p-adic L-functions of Evil Eisenstein Series

Jo\"el Bella\"iche, Samit Dasgupta

arxiv:1208.4352 v1 · 2012-08-21 · 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{PFJJ6ECYDKRBUFBLMBZF45RYP6}

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	2026-05-18T01:41:00.343041Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79529f10581aa21a142b60725e76387f8cfefb0914370d6dd87fffad4bc1b592

Aliases

arxiv: 1208.4352 · arxiv_version: 1208.4352v1 · doi: 10.48550/arxiv.1208.4352 · pith_short_12: PFJJ6ECYDKRB · pith_short_16: PFJJ6ECYDKRBUFBL · pith_short_8: PFJJ6ECY

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/PFJJ6ECYDKRBUFBLMBZF45RYP6 \
  | 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: 79529f10581aa21a142b60725e76387f8cfefb0914370d6dd87fffad4bc1b592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93de665f762956b1236668e9cddbaa28ed489bebdb8c926041687610b3bce741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-08-21T19:44:26Z",
    "title_canon_sha256": "cbdc6331eb7cd3cb2ed4c6a477cc68a01b4c0e92dd20be4c2535faa156ddfcaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4352",
    "kind": "arxiv",
    "version": 1
  }
}