Pith Number

pith:ZNEVMITE

pith:2021:ZNEVMITET3CGKDIQZ2YWGGONFS

not attested not anchored not stored refs pending

Discrete time crystals in Bose-Einstein Condensates and symmetry-breaking edge in a simple two-mode theory

Bryan J. Dalton, Jia Wang, Krzysztof Sacha, Peter Hannaford

arxiv:2106.02219 v3 · 2021-06-04 · cond-mat.quant-gas · cond-mat.mes-hall · physics.atom-ph · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNEVMITET3CGKDIQZ2YWGGONFS}

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	2026-07-05T03:36:38.049707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb495622649ec4650d10ceb16319cd2c8a4173e34fa693fc123dc649042006ca

Aliases

arxiv: 2106.02219 · arxiv_version: 2106.02219v3 · doi: 10.48550/arxiv.2106.02219 · pith_short_12: ZNEVMITET3CG · pith_short_16: ZNEVMITET3CGKDIQ · pith_short_8: ZNEVMITE

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/ZNEVMITET3CGKDIQZ2YWGGONFS \
  | 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: cb495622649ec4650d10ceb16319cd2c8a4173e34fa693fc123dc649042006ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10e1734fd0be121c2fad4fe77f6a0440516a52cd822d6a78c3ca9d0437ae3ae6",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "physics.atom-ph",
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2021-06-04T02:53:51Z",
    "title_canon_sha256": "3eadd54974edf6e1345698ef50b942f292d2ca4f332e7424fb23eb08591c4492"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.02219",
    "kind": "arxiv",
    "version": 3
  }
}