Pith Number

pith:BJIUWGYR

pith:2026:BJIUWGYRWG73H3EJBD3BT6OQXS

not attested not anchored not stored refs pending

Growth in affine Hecke categories

Daniel Tubbenhauer, Jensen O'Sullivan, Kevin Coulembier

arxiv:2608.09197 v1 · 2026-08-10 · math.RT · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BJIUWGYRWG73H3EJBD3BT6OQXS}

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	2026-08-11T02:22:03.998801Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a514b1b11b1bfb3ec8908f619f9d0bc81271f17bee97fe16e71e0ac975ebf18

Aliases

arxiv: 2608.09197 · arxiv_version: 2608.09197v1 · doi: 10.48550/arxiv.2608.09197 · pith_short_12: BJIUWGYRWG73 · pith_short_16: BJIUWGYRWG73H3EJ · pith_short_8: BJIUWGYR

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/BJIUWGYRWG73H3EJBD3BT6OQXS \
  | 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: 0a514b1b11b1bfb3ec8908f619f9d0bc81271f17bee97fe16e71e0ac975ebf18

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc68703abb23c29831add842fda16542f604514356257c8dce1b3c45a3922bbd",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2026-08-10T07:11:29Z",
    "title_canon_sha256": "50d9133fd081d3a282502ca9b0c15335286c440866eaac0eee2d117c6d41c0bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.09197",
    "kind": "arxiv",
    "version": 1
  }
}