Pith Number

pith:WEUWC7NO

pith:2010:WEUWC7NODQ7VDY2AUGJINX27HK

not attested not anchored not stored refs pending

A p-adic integral for the reciprocal of L-functions

Alexei Pantchichkine, Freydoon Shahidi, Stephen D. Miller, Stephen Gelbart

arxiv:1001.1913 v5 · 2010-01-12 · 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{WEUWC7NODQ7VDY2AUGJINX27HK}

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	2026-05-18T03:38:12.833597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b129617dae1c3f51e340a19286df5f3aa7ae8446935346be6518db887d867dbd

Aliases

arxiv: 1001.1913 · arxiv_version: 1001.1913v5 · doi: 10.48550/arxiv.1001.1913 · pith_short_12: WEUWC7NODQ7V · pith_short_16: WEUWC7NODQ7VDY2A · pith_short_8: WEUWC7NO

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/WEUWC7NODQ7VDY2AUGJINX27HK \
  | 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: b129617dae1c3f51e340a19286df5f3aa7ae8446935346be6518db887d867dbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aeeb3a1611245b782db00c4aff7396a5c4bac6f6d7c91878d44c76c68523c2f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-01-12T20:08:13Z",
    "title_canon_sha256": "347f768ce10236e9665bb55c94c5eeadcd3884208bd9a5357df04951e9c26847"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1913",
    "kind": "arxiv",
    "version": 5
  }
}