Pith Number

pith:O4YVUMQU

pith:2018:O4YVUMQUMMOMVRWGQHLPUYWGYY

not attested not anchored not stored refs pending

Fractional Time Crystals

Krzysztof Sacha, Pawel Matus

arxiv:1812.10923 v3 · 2018-12-28 · cond-mat.quant-gas · cond-mat.mes-hall · cond-mat.other · 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{O4YVUMQUMMOMVRWGQHLPUYWGYY}

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	2026-05-17T23:49:50.355701Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77315a3214631ccac6c681d6fa62c6c60d116a82829e8b0662fa77c76c2db4e7

Aliases

arxiv: 1812.10923 · arxiv_version: 1812.10923v3 · doi: 10.48550/arxiv.1812.10923 · pith_short_12: O4YVUMQUMMOM · pith_short_16: O4YVUMQUMMOMVRWG · pith_short_8: O4YVUMQU

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/O4YVUMQUMMOMVRWGQHLPUYWGYY \
  | 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: 77315a3214631ccac6c681d6fa62c6c60d116a82829e8b0662fa77c76c2db4e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8b18fd52f24d0dc9b220fde7c87b4faa09e440c7e977eba2092a46a1fc72977",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.other",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2018-12-28T08:48:54Z",
    "title_canon_sha256": "3c9b26fdf89133f0d846a044eb71a3a7949230ca5e653f8a773099ff2d4b1673"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.10923",
    "kind": "arxiv",
    "version": 3
  }
}