Pith Number

pith:XEFUCHMD

pith:2001:XEFUCHMD43QHAPTBBGX66MK7KK

not attested not anchored not stored refs pending

How Is the Maximum Entropy of a Quantized Surface Related to Its Area?

I.B. Khriplovich, R.V. Korkin

arxiv:gr-qc/0112074 v1 · 2001-12-27 · gr-qc · hep-ph · 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{XEFUCHMD43QHAPTBBGX66MK7KK}

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	2026-07-04T15:26:32.080759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b90b411d83e6e0703e6109afef315f52ad455dfac2d5cd21b76eb9b916b526b8

Aliases

arxiv: gr-qc/0112074 · arxiv_version: gr-qc/0112074v1 · doi: 10.48550/arxiv.gr-qc/0112074 · pith_short_12: XEFUCHMD43QH · pith_short_16: XEFUCHMD43QHAPTB · pith_short_8: XEFUCHMD

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/XEFUCHMD43QHAPTBBGX66MK7KK \
  | 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: b90b411d83e6e0703e6109afef315f52ad455dfac2d5cd21b76eb9b916b526b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "644080682b4da0b6a4d2653a9afa595a1aca3ec994481a8b1a9ac06bbeb08339",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-12-27T06:17:52Z",
    "title_canon_sha256": "e14796698888e8225290f9bf103a5f9004f3b4c3a22751d5b5b9c90cc3cbaf72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0112074",
    "kind": "arxiv",
    "version": 1
  }
}