Pith Number

pith:Y44HFIWG

pith:2012:Y44HFIWGPXO2HDEZX6YD5MCHL7

not attested not anchored not stored refs pending

Classical Time Crystals

Alfred Shapere, Frank Wilczek

arxiv:1202.2537 v2 · 2012-02-12 · cond-mat.other · gr-qc · hep-th · math-ph · math.MP · 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{Y44HFIWGPXO2HDEZX6YD5MCHL7}

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

Dark Energy from Time Crystals

Receipt and verification

First computed	2026-05-18T03:22:28.403794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c73872a2c67ddda38c99bfb03eb0475fe94d746b82353541cbfc809779d35ae3

Aliases

arxiv: 1202.2537 · arxiv_version: 1202.2537v2 · doi: 10.48550/arxiv.1202.2537 · pith_short_12: Y44HFIWGPXO2 · pith_short_16: Y44HFIWGPXO2HDEZ · pith_short_8: Y44HFIWG

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/Y44HFIWGPXO2HDEZX6YD5MCHL7 \
  | 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: c73872a2c67ddda38c99bfb03eb0475fe94d746b82353541cbfc809779d35ae3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41f366d74ec8d47bca3ca8df230a140c704cc768339d264d7d4fb78a105c7aa6",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th",
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2012-02-12T15:48:47Z",
    "title_canon_sha256": "73a11e9dc5353c3842c1bad2a34eef5fee85b6c4f8eb897860c58b6be4fd138d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2537",
    "kind": "arxiv",
    "version": 2
  }
}