Pith Number

pith:Y735U4Q5

pith:2011:Y735U4Q5T53U7T2XYEKPKS6E3Q

not attested not anchored not stored refs pending

Eisenstein Cohomology and ratios of critical values of Rankin-Selberg L-functions

A. Raghuram, Guenter Harder

arxiv:1103.0851 v2 · 2011-03-04 · math.NT · math.AG · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y735U4Q5T53U7T2XYEKPKS6E3Q}

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	2026-05-18T04:20:04.580172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7f7da721d9f774fcf57c114f54bc4dc2e603cef326ab093114ac5b40fb53007

Aliases

arxiv: 1103.0851 · arxiv_version: 1103.0851v2 · doi: 10.48550/arxiv.1103.0851 · pith_short_12: Y735U4Q5T53U · pith_short_16: Y735U4Q5T53U7T2X · pith_short_8: Y735U4Q5

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/Y735U4Q5T53U7T2XYEKPKS6E3Q \
  | 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: c7f7da721d9f774fcf57c114f54bc4dc2e603cef326ab093114ac5b40fb53007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8fb10b1c5542ef57e2882dbe919188095691d424b1ec1a8eaf0cb67fed70e59",
    "cross_cats_sorted": [
      "math.AG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-03-04T09:54:37Z",
    "title_canon_sha256": "1034cfcb33c6b7a00d06220831f2a2275fa5d913eb05fb6e383e6252546932d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0851",
    "kind": "arxiv",
    "version": 2
  }
}