Pith Number

pith:2TOFWTTA

pith:2025:2TOFWTTAXKXPSSQW6FABSF6OPL

not attested not anchored not stored refs pending

Subcategories of Module Categories via Restricted Yoneda Embeddings

Dylan Fillmore, Jonas T. Hartwig

arxiv:2507.12778 v1 · 2025-07-17 · 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{2TOFWTTAXKXPSSQW6FABSF6OPL}

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	2026-07-05T11:38:38.974338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4dc5b4e60baaef94a16f1401917ce7af1513ba9f17cfa8b825a2e3316b57bee

Aliases

arxiv: 2507.12778 · arxiv_version: 2507.12778v1 · doi: 10.48550/arxiv.2507.12778 · pith_short_12: 2TOFWTTAXKXP · pith_short_16: 2TOFWTTAXKXPSSQW · pith_short_8: 2TOFWTTA

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/2TOFWTTAXKXPSSQW6FABSF6OPL \
  | 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: d4dc5b4e60baaef94a16f1401917ce7af1513ba9f17cfa8b825a2e3316b57bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "75ceeab0cd9585a32f03ccf2b85fd8745e27dc249412a73e6f4a80edde19abca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-07-17T04:39:33Z",
    "title_canon_sha256": "cee6d15d1b95d67f5367f36e029c7192bd2d195a4b2375a7f05a066b01e86971"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.12778",
    "kind": "arxiv",
    "version": 1
  }
}