Pith Number

pith:NJE2WT7G

pith:2015:NJE2WT7GWF6JPBWJRNBCNWAZSI

not attested not anchored not stored refs pending

A Short Essay on Quantum Black Holes and Underlying Noncommutative Quantized Space-Time

Sho Tanaka

arxiv:1510.03320 v4 · 2015-10-12 · hep-th · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJE2WT7GWF6JPBWJRNBCNWAZSI}

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	2026-05-18T00:52:42.014696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a49ab4fe6b17c9786c98b4226d819920e49c79a3e8fa81f6a63b22e9d92f758

Aliases

arxiv: 1510.03320 · arxiv_version: 1510.03320v4 · doi: 10.48550/arxiv.1510.03320 · pith_short_12: NJE2WT7GWF6J · pith_short_16: NJE2WT7GWF6JPBWJ · pith_short_8: NJE2WT7G

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/NJE2WT7GWF6JPBWJRNBCNWAZSI \
  | 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: 6a49ab4fe6b17c9786c98b4226d819920e49c79a3e8fa81f6a63b22e9d92f758

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2fe544abdd58cbe776154f94f2cc9ac75ae80bca507e6dbbe1006d3ef11df48",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-10-12T14:54:22Z",
    "title_canon_sha256": "f1285891edaf106202da3c354222036bad3b4095500e2e96edcc4de79500e045"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03320",
    "kind": "arxiv",
    "version": 4
  }
}