Pith Number

pith:PS6G3XIM

pith:2011:PS6G3XIM2YDEU4XJTWWA26DFH2

not attested not anchored not stored refs pending

Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis

Barun Majumder

arxiv:1106.0715 v2 · 2011-06-03 · gr-qc · 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{PS6G3XIM2YDEU4XJTWWA26DFH2}

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	2026-05-18T04:14:17.888459Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cbc6ddd0cd6064a72e99dac0d78653ebd42724b588317c818c1979ba9163456

Aliases

arxiv: 1106.0715 · arxiv_version: 1106.0715v2 · doi: 10.48550/arxiv.1106.0715 · pith_short_12: PS6G3XIM2YDE · pith_short_16: PS6G3XIM2YDEU4XJ · pith_short_8: PS6G3XIM

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/PS6G3XIM2YDEU4XJTWWA26DFH2 \
  | 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: 7cbc6ddd0cd6064a72e99dac0d78653ebd42724b588317c818c1979ba9163456

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96e4bbe25fc35115d5a77d4cf4574a407155409fdf63c3abafcf089d4436957b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-03T17:40:59Z",
    "title_canon_sha256": "1a58111e87ccefe8d7f29306a6107b005be9a9dd2ecda3bd3fe69790d7272fa7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0715",
    "kind": "arxiv",
    "version": 2
  }
}