Pith Number

pith:3KGXMPAX

pith:2025:3KGXMPAXFMWVMGSR4WBWAYFWBT

not attested not anchored not stored refs pending

Hall induction for cotangent representations and wheel conditions

Danil Gubarevich

arxiv:2601.00124 v3 · 2025-12-31 · math.RT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3KGXMPAXFMWVMGSR4WBWAYFWBT}

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	2026-06-30T01:16:27.472010Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da8d763c172b2d561a51e5836060b60ce04134a7213fb2bf931d606330f8c0c4

Aliases

arxiv: 2601.00124 · arxiv_version: 2601.00124v3 · doi: 10.48550/arxiv.2601.00124 · pith_short_12: 3KGXMPAXFMWV · pith_short_16: 3KGXMPAXFMWVMGSR · pith_short_8: 3KGXMPAX

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/3KGXMPAXFMWVMGSR4WBWAYFWBT \
  | 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: da8d763c172b2d561a51e5836060b60ce04134a7213fb2bf931d606330f8c0c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "229a27c4a8b31109eead9cb2c2148b7377ade37c0ad4cbd3d9f1a72f1e7cea18",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2025-12-31T21:58:20Z",
    "title_canon_sha256": "a25564d2280f3cd0f965d6ac31b936a3c9b70b3345803c22c52508ce7df3325d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.00124",
    "kind": "arxiv",
    "version": 3
  }
}