Pith Number

pith:PSFKATGH

pith:2026:PSFKATGHZH4JG3C47UFJFBN6SB

not attested not anchored not stored refs pending

Modular fusion categories with trivial Torelli group actions

Liang Chang, Siu-Hung Ng, Yilong Wang

arxiv:2608.04462 v1 · 2026-08-05 · math.QA · math.GT · 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{PSFKATGHZH4JG3C47UFJFBN6SB}

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	2026-08-06T01:35:34.789774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c8aa04cc7c9f8936c5cfd0a9285be90449bc0838d0fe039cbee079a91c49e01

Aliases

arxiv: 2608.04462 · arxiv_version: 2608.04462v1 · doi: 10.48550/arxiv.2608.04462 · pith_short_12: PSFKATGHZH4J · pith_short_16: PSFKATGHZH4JG3C4 · pith_short_8: PSFKATGH

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/PSFKATGHZH4JG3C47UFJFBN6SB \
  | 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: 7c8aa04cc7c9f8936c5cfd0a9285be90449bc0838d0fe039cbee079a91c49e01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a92f0ca75c9dcd9f0217f8a81da5ecda60878008e6c51fd44ef24462bac7c891",
    "cross_cats_sorted": [
      "math.GT",
      "math.RT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2026-08-05T05:38:19Z",
    "title_canon_sha256": "8cfc2577e4d73c8b55d69a0a67ed34e26fc165e9ab8f9e7391784a4459f27252"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04462",
    "kind": "arxiv",
    "version": 1
  }
}