Pith Number

pith:A3SYRO6H

pith:2025:A3SYRO6HN6TWXYBOEVOXCTFYKO

not attested not anchored not stored refs pending

Kaluza-Klein ansatz from Lorentzian quantum gravity on the fuzzy sphere

Chengcheng Liu, Shahn Majid

arxiv:2507.21861 v1 · 2025-07-29 · hep-th · gr-qc · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A3SYRO6HN6TWXYBOEVOXCTFYKO}

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	2026-07-05T11:45:08.996015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06e588bbc76fa76be02e255d714cb85399b3e711c6b636caa0a31ac7693d05ed

Aliases

arxiv: 2507.21861 · arxiv_version: 2507.21861v1 · doi: 10.48550/arxiv.2507.21861 · pith_short_12: A3SYRO6HN6TW · pith_short_16: A3SYRO6HN6TWXYBO · pith_short_8: A3SYRO6H

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/A3SYRO6HN6TWXYBOEVOXCTFYKO \
  | 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: 06e588bbc76fa76be02e255d714cb85399b3e711c6b636caa0a31ac7693d05ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb012e96d36cd5579218f0699584aa277d602062a93ca01ee7696540e216eac",
    "cross_cats_sorted": [
      "gr-qc",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-07-29T14:33:42Z",
    "title_canon_sha256": "37a4730cfad3c0552f7e0d0dc3520c2836d8e8b51617075f88ecedbfeeee6e5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.21861",
    "kind": "arxiv",
    "version": 1
  }
}