Pith Number

pith:WDBPRHHX

pith:2024:WDBPRHHX4MXEAFDN6UTOYFT4KC

not attested not anchored not stored refs pending

Geometric Casselman-Shalika in mixed characteristic

Ashwin Iyengar, Konrad Zou, Milton Lin

arxiv:2408.07953 v1 · 2024-08-15 · math.AG · 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{WDBPRHHX4MXEAFDN6UTOYFT4KC}

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	2026-06-12T01:08:08.528361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c2f89cf7e32e40146df526ec167c50a01403130c031f4218416e659258bce5

Aliases

arxiv: 2408.07953 · arxiv_version: 2408.07953v1 · doi: 10.48550/arxiv.2408.07953 · pith_short_12: WDBPRHHX4MXE · pith_short_16: WDBPRHHX4MXEAFDN · pith_short_8: WDBPRHHX

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/WDBPRHHX4MXEAFDN6UTOYFT4KC \
  | 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: b0c2f89cf7e32e40146df526ec167c50a01403130c031f4218416e659258bce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba428a89377d0f8f0eba8546d0b5f08f8bfacc2aed2c20aa8800af5fc7fa8cd7",
    "cross_cats_sorted": [
      "math.NT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-08-15T06:03:08Z",
    "title_canon_sha256": "82e16e383b7dbc1cbc4a3f615536da9aabcadcca4cd31ac57aa2dca4fee078b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2408.07953",
    "kind": "arxiv",
    "version": 1
  }
}