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Pith Number

pith:SNW4F33H

pith:1999:SNW4F33HEPHIPM2MTHXBOBJ2DX
not attested not anchored not stored refs pending

Entropy Bounds, Holographic Principle and Uncertainty Relation

I. V. Volovich, M. G. Ivanov

arxiv:gr-qc/9908047 v1 · 1999-08-17 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SNW4F33HEPHIPM2MTHXBOBJ2DX}

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 2026-05-18T01:39:17.841666Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

936dc2ef6723ce87b34c99ee17053a1df53ce27b42cd7cd450e7209e8789b1e8

Aliases

arxiv: gr-qc/9908047 · arxiv_version: gr-qc/9908047v1 · doi: 10.48550/arxiv.gr-qc/9908047 · pith_short_12: SNW4F33HEPHI · pith_short_16: SNW4F33HEPHIPM2M · pith_short_8: SNW4F33H
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SNW4F33HEPHIPM2MTHXBOBJ2DX \
  | 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: 936dc2ef6723ce87b34c99ee17053a1df53ce27b42cd7cd450e7209e8789b1e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "b61d7eb9e9731cfb812728a15536a35030a8d6653e48bb5a46b4499865415243",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-08-17T00:23:56Z",
    "title_canon_sha256": "5d0d53adccfa782ad86e0ae1fca7cf1ade84f6ebcf0a733b835a3b249071e0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9908047",
    "kind": "arxiv",
    "version": 1
  }
}