Pith Number

pith:O22QVNZV

pith:2006:O22QVNZVCWGZHJEPLHNO5YEGWW

not attested not anchored not stored refs pending

Deformations of local systems and Eisenstein series

A. Braverman, D. Gaitsgory

arxiv:math/0605139 v4 · 2006-05-04 · 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{O22QVNZVCWGZHJEPLHNO5YEGWW}

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.

Cited by

1 paper in Pith

Parabolic geometric Eisenstein series and constant term functors

Receipt and verification

First computed	2026-07-04T15:07:11.755917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b50ab735158d93a48f59daeee086b58599cc90ccb66232a7ab89db21b0da88

Aliases

arxiv: math/0605139 · arxiv_version: math/0605139v4 · doi: 10.48550/arxiv.math/0605139 · pith_short_12: O22QVNZVCWGZ · pith_short_16: O22QVNZVCWGZHJEP · pith_short_8: O22QVNZV

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/O22QVNZVCWGZHJEPLHNO5YEGWW \
  | 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: 76b50ab735158d93a48f59daeee086b58599cc90ccb66232a7ab89db21b0da88

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15a00e1b0c482e3e6bf8948e3cb6d9b831b24e07ea722e752a49ced85eb35ffa",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-05-04T19:05:08Z",
    "title_canon_sha256": "32aa1cc64c1a2e9a182300b3eae309896be0ff8473e82ed1034916813b38f8a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0605139",
    "kind": "arxiv",
    "version": 4
  }
}