Pith Number

pith:5KD2L3BK

pith:1998:5KD2L3BKLXZC4PSQT3T3WVQZRK

not attested not anchored not stored refs pending

Galois Theory for Braided Tensor Categories and the Modular Closure

Michael Mueger

arxiv:math/9812040 v3 · 1998-12-07 · math.CT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5KD2L3BKLXZC4PSQT3T3WVQZRK}

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

On Hecke and asymptotic categories for a family of complex reflection groups

Receipt and verification

First computed	2026-07-04T14:40:53.807975Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea87a5ec2a5df22e3e509ee7bb56198a83fa4ada5d147f4380a9e13655a4b91b

Aliases

arxiv: math/9812040 · arxiv_version: math/9812040v3 · doi: 10.48550/arxiv.math/9812040 · pith_short_12: 5KD2L3BKLXZC · pith_short_16: 5KD2L3BKLXZC4PSQ · pith_short_8: 5KD2L3BK

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/5KD2L3BKLXZC4PSQT3T3WVQZRK \
  | 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: ea87a5ec2a5df22e3e509ee7bb56198a83fa4ada5d147f4380a9e13655a4b91b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca3484a396d48ab7163eee5bed907a29167f7648c479c7ffbeb1cc9efc914734",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.CT",
    "submitted_at": "1998-12-07T18:57:27Z",
    "title_canon_sha256": "4a8acd641c8432ef7f2bbb32c911c271f72aeba2b8713ea636871a3430ea01ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9812040",
    "kind": "arxiv",
    "version": 3
  }
}