Pith Number

pith:32ZWWFKB

pith:2021:32ZWWFKBYWXYYA64MA2BYBMWRK

not attested not anchored not stored refs pending

Fractal Quantum Phase Transitions: Critical Phenomena Beyond Renormalization

Frank Pollmann, Xue-Feng Zhang, Yizhi You, Zheng Zhou

arxiv:2105.05851 v1 · 2021-05-12 · cond-mat.str-el · cond-mat.stat-mech · 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{32ZWWFKBYWXYYA64MA2BYBMWRK}

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

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

Receipt and verification

First computed	2026-07-05T02:40:01.448499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

deb36b1541c5af8c03dc60341c05968a9c1da5571589457ebf6e1c5f402d5ab5

Aliases

arxiv: 2105.05851 · arxiv_version: 2105.05851v1 · doi: 10.48550/arxiv.2105.05851 · pith_short_12: 32ZWWFKBYWXY · pith_short_16: 32ZWWFKBYWXYYA64 · pith_short_8: 32ZWWFKB

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/32ZWWFKBYWXYYA64MA2BYBMWRK \
  | 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: deb36b1541c5af8c03dc60341c05968a9c1da5571589457ebf6e1c5f402d5ab5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8aedef14e232c8717bce9cd2a5203f74cfecf0b5d82ecf62eaf9b21e493e1c60",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2021-05-12T18:00:00Z",
    "title_canon_sha256": "791a9be39d9ca596e5f854b73f58f5c20a457df7ae37eae4f4f6db273063a214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.05851",
    "kind": "arxiv",
    "version": 1
  }
}