Pith Number

pith:MUHTOW3L

pith:2016:MUHTOW3LUHGQ6PUJY7PFPMRLID

not attested not anchored not stored refs pending

Fractal symmetries: Ungauging the cubic code

Dominic J. Williamson

arxiv:1603.05182 v3 · 2016-03-16 · quant-ph · cond-mat.str-el · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MUHTOW3LUHGQ6PUJY7PFPMRLID}

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

2 papers in Pith

Fracton Topological Holography

Snowmass White Paper: Generalized Symmetries in Quantum Field Theory and Beyond

Receipt and verification

First computed	2026-05-18T00:33:07.250990Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

650f375b6ba1cd0f3e89c7de57b22b40cdebe0dac6f1e5c534189cbee38039d7

Aliases

arxiv: 1603.05182 · arxiv_version: 1603.05182v3 · doi: 10.48550/arxiv.1603.05182 · pith_short_12: MUHTOW3LUHGQ · pith_short_16: MUHTOW3LUHGQ6PUJ · pith_short_8: MUHTOW3L

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/MUHTOW3LUHGQ6PUJY7PFPMRLID \
  | 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: 650f375b6ba1cd0f3e89c7de57b22b40cdebe0dac6f1e5c534189cbee38039d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e45401e9714fec8c25f3d0de6627eeb6165e9438b30842f83363028a2edacb0e",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "hep-lat"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-03-16T17:19:14Z",
    "title_canon_sha256": "58edbb165cecbb02d4a40cd0027c827c76e75bf36fcf815d1bc9a6fe7ed9eaa0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.05182",
    "kind": "arxiv",
    "version": 3
  }
}