Pith Number

pith:JTEYOZXW

pith:1997:JTEYOZXW2K64VZJCW3IBP6TWN4

not attested not anchored not stored refs pending

Geometric Realization of Whittaker Functions and the Langlands Conjecture

D. Gaitsgory, D. Kazhdan, E. Frenkel, K. Vilonen

arxiv:alg-geom/9703022 v2 · 1997-03-18 · alg-geom · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTEYOZXW2K64VZJCW3IBP6TWN4}

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	2026-05-18T01:07:47.075251Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cc98766f6d2bdcae522b6d017fa766f0003acb9609c68a630bb5a44fa38b6c5

Aliases

arxiv: alg-geom/9703022 · arxiv_version: alg-geom/9703022v2 · doi: 10.48550/arxiv.alg-geom/9703022 · pith_short_12: JTEYOZXW2K64 · pith_short_16: JTEYOZXW2K64VZJC · pith_short_8: JTEYOZXW

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/JTEYOZXW2K64VZJCW3IBP6TWN4 \
  | 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: 4cc98766f6d2bdcae522b6d017fa766f0003acb9609c68a630bb5a44fa38b6c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f035f937e6b78d30ce769620fcfea963448bce4c14cd2cb0d0da1441a189f0c",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "alg-geom",
    "submitted_at": "1997-03-18T22:16:39Z",
    "title_canon_sha256": "0bfb5dd57c7e95687a6571ec11f122ef51d62c128f9da717289f7a12c2dcf413"
  },
  "schema_version": "1.0",
  "source": {
    "id": "alg-geom/9703022",
    "kind": "arxiv",
    "version": 2
  }
}