Pith Number

pith:M7GNJU7X

pith:2015:M7GNJU7XOYID7L4DT5JNVLYJSX

not attested not anchored not stored refs pending

Discrete quantum spectrum of black holes

Kinjalk Lochan, Sumanta Chakraborty

arxiv:1509.09010 v3 · 2015-09-30 · 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{M7GNJU7XOYID7L4DT5JNVLYJSX}

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.

Cited by

1 paper in Pith

Probing the existence of a minimal length through compact binary inspiral

Receipt and verification

First computed	2026-05-18T01:21:19.366327Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ccd4d3f776103faf839f52daaf0995f4b661782cad615bd72b9ecc5c7a1653

Aliases

arxiv: 1509.09010 · arxiv_version: 1509.09010v3 · doi: 10.48550/arxiv.1509.09010 · pith_short_12: M7GNJU7XOYID · pith_short_16: M7GNJU7XOYID7L4D · pith_short_8: M7GNJU7X

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/M7GNJU7XOYID7L4DT5JNVLYJSX \
  | 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: 67ccd4d3f776103faf839f52daaf0995f4b661782cad615bd72b9ecc5c7a1653

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "500f7eda723637f666bd46c4f1729787fbb43adad3080ab1ebe9f0d50ce070d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-09-30T04:25:14Z",
    "title_canon_sha256": "8d439e32ecb883c300d4b0406421085632222e5442f7ea099699df66c534195f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.09010",
    "kind": "arxiv",
    "version": 3
  }
}