Pith Number

pith:YGK4HVTR

pith:2019:YGK4HVTRRB47TWSVDYEMMKQTSV

not attested not anchored not stored refs pending

Tilting modules and cellular categories

Henning Haahr Andersen

arxiv:1912.00817 v2 · 2019-12-02 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YGK4HVTRRB47TWSVDYEMMKQTSV}

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

Idempotents, traces, and dimensions in Hecke categories

Receipt and verification

First computed	2026-07-05T00:43:56.893375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c195c3d6718879f9da551e08c62a13955dcb0733b5e267958cef6b7dc5725d95

Aliases

arxiv: 1912.00817 · arxiv_version: 1912.00817v2 · doi: 10.48550/arxiv.1912.00817 · pith_short_12: YGK4HVTRRB47 · pith_short_16: YGK4HVTRRB47TWSV · pith_short_8: YGK4HVTR

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/YGK4HVTRRB47TWSVDYEMMKQTSV \
  | 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: c195c3d6718879f9da551e08c62a13955dcb0733b5e267958cef6b7dc5725d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cdaabebf8811ff2a5f977c6f019c4a810e68ed75e537f248505999e2a5582c8",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2019-12-02T14:27:15Z",
    "title_canon_sha256": "56e8ea62e07877b354f0fd1ad210e52b3ebf07c1eb7d684ec75c049435da2552"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.00817",
    "kind": "arxiv",
    "version": 2
  }
}