Pith Number

pith:ZB5ID7TR

pith:1999:ZB5ID7TRTT2CYJXG2RMU2GY6IO

not attested not anchored not stored refs pending

Geometric Eisenstein series

A.Braverman, D.Gaitsgory

arxiv:math/9912097 v2 · 1999-12-12 · 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{ZB5ID7TRTT2CYJXG2RMU2GY6IO}

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	2026-07-04T14:41:31.572128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87a81fe719cf42c26e6d4594d1b1e43b23b644a5b9ba1c7e2c784d2dd7f4786

Aliases

arxiv: math/9912097 · arxiv_version: math/9912097v2 · doi: 10.48550/arxiv.math/9912097 · pith_short_12: ZB5ID7TRTT2C · pith_short_16: ZB5ID7TRTT2CYJXG · pith_short_8: ZB5ID7TR

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/ZB5ID7TRTT2CYJXG2RMU2GY6IO \
  | 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: c87a81fe719cf42c26e6d4594d1b1e43b23b644a5b9ba1c7e2c784d2dd7f4786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e9a5028b6685b5cd9f08fa6bb7aa931a6069c4122c5d0dd54ff6d90143633aa",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-12-12T20:31:56Z",
    "title_canon_sha256": "54332286e30bb1ab4cb945f6912823103f62a6a6e2a8e2aab4de4c3447c1e78b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912097",
    "kind": "arxiv",
    "version": 2
  }
}