Pith Number

pith:WWRANAMV

pith:2017:WWRANAMVWPVLFAFUOPXHZ3V52W

not attested not anchored not stored refs pending

Null Geodesics and Red-Blue Shifts of Photons Emitted from Geodesic Particles Around a Non-Commutative Black Hole Spacetime

Anindya Biswas, Hemwati Nandan, K. D. Purohit, Rashmi Uniyal, Ravi Shankar Kuniyal

arxiv:1703.07921 v2 · 2017-03-23 · 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{WWRANAMVWPVLFAFUOPXHZ3V52W}

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	2026-05-18T00:47:56.196594Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5a2068195b3eab280b473ee7ceebdd5aa494fc923304c6f80aba90729a80325

Aliases

arxiv: 1703.07921 · arxiv_version: 1703.07921v2 · doi: 10.48550/arxiv.1703.07921 · pith_short_12: WWRANAMVWPVL · pith_short_16: WWRANAMVWPVLFAFU · pith_short_8: WWRANAMV

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/WWRANAMVWPVLFAFUOPXHZ3V52W \
  | 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: b5a2068195b3eab280b473ee7ceebdd5aa494fc923304c6f80aba90729a80325

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0298c1483ab60ead1a59f6f68750374b6ee173515a0e406d6c10399f929f2778",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2017-03-23T03:50:47Z",
    "title_canon_sha256": "5f503bf54ebe0de55d7ab3215004fe1bb63b36bfdd2be6c2266dd529a1c5fe73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.07921",
    "kind": "arxiv",
    "version": 2
  }
}