Pith Number

pith:WUHP73QZ

pith:2026:WUHP73QZOISVE62AAU3V6PBOCG

not attested not anchored not stored refs pending

Critical spacetime crystals in continuous dimensions

Christian Ecker, Daniel Grumiller, Florian Ecker, Tobias Jechtl

arxiv:2602.10185 v2 · 2026-02-10 · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WUHP73QZOISVE62AAU3V6PBOCG}

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	2026-05-21T02:04:59.045954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b50effee197225527b4005375f3c2e11a7cf6986305400468fb48c6ed56de559

Aliases

arxiv: 2602.10185 · arxiv_version: 2602.10185v2 · doi: 10.48550/arxiv.2602.10185 · pith_short_12: WUHP73QZOISV · pith_short_16: WUHP73QZOISVE62A · pith_short_8: WUHP73QZ

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/WUHP73QZOISVE62AAU3V6PBOCG \
  | 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: b50effee197225527b4005375f3c2e11a7cf6986305400468fb48c6ed56de559

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ace30e42165c3def69280d35c7149a68c018cc0da0d8f5c3a69ce73f7fd29b5e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-02-10T19:00:00Z",
    "title_canon_sha256": "7fbb91fa9683dab1efc681545f5d6dcb18936f0c6bfa385612a944c01a0b2828"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.10185",
    "kind": "arxiv",
    "version": 2
  }
}