Pith Number

pith:K27BWJW3

pith:2019:K27BWJW3LP7RYOPX2TPZA6WXQR

not attested not anchored not stored refs pending

Black hole entropy from trace dynamics and non-commutative geometry

Palemkota Maithresh, Tejinder P. Singh

arxiv:1909.02434 v2 · 2019-09-05 · gr-qc · hep-th · quant-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{K27BWJW3LP7RYOPX2TPZA6WXQR}

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	2026-07-05T00:30:23.535785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56be1b26db5bff1c39f7d4df907ad784681edebfef02c3aa74525e4631e27b96

Aliases

arxiv: 1909.02434 · arxiv_version: 1909.02434v2 · doi: 10.48550/arxiv.1909.02434 · pith_short_12: K27BWJW3LP7R · pith_short_16: K27BWJW3LP7RYOPX · pith_short_8: K27BWJW3

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/K27BWJW3LP7RYOPX2TPZA6WXQR \
  | 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: 56be1b26db5bff1c39f7d4df907ad784681edebfef02c3aa74525e4631e27b96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee5b16e8834657f5c332af53b2997d0fbbaf254e7b48baeb9e5f294b7e1f40a1",
    "cross_cats_sorted": [
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2019-09-05T14:16:54Z",
    "title_canon_sha256": "0138befbe52c8e37f4b1493993840509397ff874dda4b9712ea5f248d80c2bc3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02434",
    "kind": "arxiv",
    "version": 2
  }
}