Pith Number

pith:FCGCF43Y

pith:2026:FCGCF43YZBQ4BK2QNLH6UFNSIF

not attested not anchored not stored refs pending

Einstein crystals in Snyder and Snyder-de Sitter noncommutative backgrounds

Aneta Wojnar, Anna Pacho\l

arxiv:2607.15760 v1 · 2026-07-17 · gr-qc · cond-mat.mtrl-sci · hep-th · 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{FCGCF43YZBQ4BK2QNLH6UFNSIF}

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	2026-07-20T01:19:08.401989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

288c22f378c861c0ab506acfea15b2416f7f60ca7a6b06d0ce270e8408788623

Aliases

arxiv: 2607.15760 · arxiv_version: 2607.15760v1 · doi: 10.48550/arxiv.2607.15760 · pith_short_12: FCGCF43YZBQ4 · pith_short_16: FCGCF43YZBQ4BK2Q · pith_short_8: FCGCF43Y

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/FCGCF43YZBQ4BK2QNLH6UFNSIF \
  | 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: 288c22f378c861c0ab506acfea15b2416f7f60ca7a6b06d0ce270e8408788623

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f0e74df8972f2a54561c9dd796a420d7cb1e3ae5a70f802d57fdf5d8d27ef8a",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2026-07-17T08:50:34Z",
    "title_canon_sha256": "612c6ea9a7a51004f14da9b171d0850ca47a4eed621b987dfcb566d4980fe67f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15760",
    "kind": "arxiv",
    "version": 1
  }
}