Pith Number

pith:LPIYZ7WU

pith:2011:LPIYZ7WUA2FBQRF52M2R6CHB46

not attested not anchored not stored refs pending

Universal entropy bound and discrete space-time

Bo-Qiang Ma, Yunqi Xu

arxiv:1106.1778 v2 · 2011-06-09 · hep-th · gr-qc · physics.hist-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{LPIYZ7WUA2FBQRF52M2R6CHB46}

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	2026-05-18T04:12:33.571028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bd18cfed4068a1844bdd3351f08e1e7856ae91352458eb4f64cbdf61d2f4ad7

Aliases

arxiv: 1106.1778 · arxiv_version: 1106.1778v2 · doi: 10.48550/arxiv.1106.1778 · pith_short_12: LPIYZ7WUA2FB · pith_short_16: LPIYZ7WUA2FBQRF5 · pith_short_8: LPIYZ7WU

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/LPIYZ7WUA2FBQRF52M2R6CHB46 \
  | 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: 5bd18cfed4068a1844bdd3351f08e1e7856ae91352458eb4f64cbdf61d2f4ad7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dad20fda21f013e486f4926006ebd1b2c5d4166c5ff43312ceeca0cab352b335",
    "cross_cats_sorted": [
      "gr-qc",
      "physics.hist-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-06-09T11:45:47Z",
    "title_canon_sha256": "abaa92d27ace24a28f36f54c74773aa969dffda8b5ad018d590794078eb39f30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1778",
    "kind": "arxiv",
    "version": 2
  }
}