Pith Number

pith:2PY5RHGG

pith:1998:2PY5RHGGPTJOE6NRSK5B7VIOTC

not attested not anchored not stored refs pending

On the Schwartz space of the basic affine space

Alexander Braverman, David Kazhdan

arxiv:math/9809112 v2 · 1998-09-20 · 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{2PY5RHGGPTJOE6NRSK5B7VIOTC}

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	2026-05-18T01:05:33.777907Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3f1d89cc67cd2e279b192ba1fd50e9886469bdcb8e70455111abcce6f931bfb

Aliases

arxiv: math/9809112 · arxiv_version: math/9809112v2 · doi: 10.48550/arxiv.math/9809112 · pith_short_12: 2PY5RHGGPTJO · pith_short_16: 2PY5RHGGPTJOE6NR · pith_short_8: 2PY5RHGG

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/2PY5RHGGPTJOE6NRSK5B7VIOTC \
  | 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: d3f1d89cc67cd2e279b192ba1fd50e9886469bdcb8e70455111abcce6f931bfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a550b7bd2c153f2013e53e0f97c7015a5d00e4d64e25418cb874b9199cc56fb",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1998-09-20T20:29:04Z",
    "title_canon_sha256": "6f6e3a8e4c4b47c9bded839400b3ac075bc27ae33bea59a645268a5738cad3bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9809112",
    "kind": "arxiv",
    "version": 2
  }
}