Pith Number

pith:WBDJA3RL

pith:2020:WBDJA3RL2GGHMLPZP5QOSMSJNP

not attested not anchored not stored refs pending

Unconventional U(1) to $\mathbf{Z_q}$ cross-over in quantum and classical ${\bf q}$-state clock models

Anders W. Sandvik, Hui Shao, Pranay Patil

arxiv:2009.03249 v4 · 2020-09-07 · cond-mat.str-el · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WBDJA3RL2GGHMLPZP5QOSMSJNP}

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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

Supersymmetric quantum criticality with discrete symmetry

Receipt and verification

First computed	2026-07-05T08:33:58.968724Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b046906e2bd18c762df97f60e932496bfa61a975067a6619526e6ce821a51c57

Aliases

arxiv: 2009.03249 · arxiv_version: 2009.03249v4 · doi: 10.48550/arxiv.2009.03249 · pith_short_12: WBDJA3RL2GGH · pith_short_16: WBDJA3RL2GGHMLPZ · pith_short_8: WBDJA3RL

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/WBDJA3RL2GGHMLPZP5QOSMSJNP \
  | 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: b046906e2bd18c762df97f60e932496bfa61a975067a6619526e6ce821a51c57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a00ee27960733bf91d833a0a9c68b010774428f7ec10572ab68e6d889bf9a5e4",
    "cross_cats_sorted": [
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2020-09-07T17:20:09Z",
    "title_canon_sha256": "0fc11cd2e3f6217f877f55967198ef7ff85377cb08ef0dad07216448f94fb371"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.03249",
    "kind": "arxiv",
    "version": 4
  }
}