Pith Number

pith:YCNP4E3Q

pith:2018:YCNP4E3QBGC4IIJGHOC3FMM4AW

not attested not anchored not stored refs pending

Permutation actions on modular tensor categories of topological multilayer phases

Albert Georg Passegger

arxiv:1808.06574 v2 · 2018-08-20 · math-ph · cond-mat.str-el · hep-th · math.CT · math.MP · 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{YCNP4E3QBGC4IIJGHOC3FMM4AW}

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	2026-05-18T00:06:36.955172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c09afe13700985c421263b85b2b19c05a6e940790739b8592928831abb39deca

Aliases

arxiv: 1808.06574 · arxiv_version: 1808.06574v2 · doi: 10.48550/arxiv.1808.06574 · pith_short_12: YCNP4E3QBGC4 · pith_short_16: YCNP4E3QBGC4IIJG · pith_short_8: YCNP4E3Q

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/YCNP4E3QBGC4IIJGHOC3FMM4AW \
  | 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: c09afe13700985c421263b85b2b19c05a6e940790739b8592928831abb39deca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9285aa717f62c4852910ce667d16cbc09f3c14c07cb7e65f6310eab330f4c8af",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-th",
      "math.CT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-20T17:19:18Z",
    "title_canon_sha256": "765e76b815b3e9657c082815c1c94af920f8e1702e30ab59d147b684b6f90fae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.06574",
    "kind": "arxiv",
    "version": 2
  }
}