Pith Number

pith:AHGBOF57

pith:2014:AHGBOF57DWLHCAEKQSFEYPLQ5W

not attested not anchored not stored refs pending

Eisenstein Cohomology for GL(N) and ratios of critical values of Rankin-Selberg L-functions

A. Raghuram, G\"unter Harder

arxiv:1405.6513 v2 · 2014-05-26 · math.NT · 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{AHGBOF57DWLHCAEKQSFEYPLQ5W}

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	2026-05-18T01:37:47.522011Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01cc1717bf1d9671008a848a4c3d70ed9f1f1c3fa91887dec5d6f52b6a4df3b3

Aliases

arxiv: 1405.6513 · arxiv_version: 1405.6513v2 · doi: 10.48550/arxiv.1405.6513 · pith_short_12: AHGBOF57DWLH · pith_short_16: AHGBOF57DWLHCAEK · pith_short_8: AHGBOF57

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/AHGBOF57DWLHCAEKQSFEYPLQ5W \
  | 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: 01cc1717bf1d9671008a848a4c3d70ed9f1f1c3fa91887dec5d6f52b6a4df3b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e0b495622b4ea086676a0228119c4c94f6e464e4d10b94fdcb3a8c8ea235d23f",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-26T09:27:21Z",
    "title_canon_sha256": "5eca3d5a343e145f4286b85d5356527cdc90163f3bf014fae1967983a6d6bbe5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6513",
    "kind": "arxiv",
    "version": 2
  }
}