Pith Number

pith:3OCGASQM

pith:2026:3OCGASQMDIYXLU5AIJR2TNMNGT

not attested not anchored not stored refs pending

Translationally Covariant Modulated Symmetries: Classification and Goldstone

Biao Lian, Bo-Ting Chen, Zihan Zhou

arxiv:2606.07952 v1 · 2026-06-06 · cond-mat.str-el · cond-mat.quant-gas · 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{3OCGASQMDIYXLU5AIJR2TNMNGT}

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	2026-06-09T01:04:56.267533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db84604a0c1a3175d3a04263a9b58d34d8567327a2a60f498208cc5b49b09b87

Aliases

arxiv: 2606.07952 · arxiv_version: 2606.07952v1 · doi: 10.48550/arxiv.2606.07952 · pith_short_12: 3OCGASQMDIYX · pith_short_16: 3OCGASQMDIYXLU5A · pith_short_8: 3OCGASQM

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/3OCGASQMDIYXLU5AIJR2TNMNGT \
  | 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: db84604a0c1a3175d3a04263a9b58d34d8567327a2a60f498208cc5b49b09b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ffee16bfda5d713f7d5e9eb92f00b2622607827681fe3b9da45c6accfbda9bc",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "cond-mat.stat-mech"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2026-06-06T02:57:50Z",
    "title_canon_sha256": "e43c90a10bec118fcd4e5825ecdd9d52aad1da37dc8b3e4c8fb7ae0cb238c0e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07952",
    "kind": "arxiv",
    "version": 1
  }
}