Pith Number

pith:7W34D7WI

pith:2011:7W34D7WI6OQOPTMRD7HLEGFCPT

not attested not anchored not stored refs pending

Probing spacetime noncommutative constant via charged astrophysical black hole lensing

Chikun Ding, Jiliang Jing

arxiv:1106.1974 v2 · 2011-06-10 · gr-qc · astro-ph.HE · 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{7W34D7WI6OQOPTMRD7HLEGFCPT}

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	2026-05-18T04:11:07.250938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb7c1fec8f3a0e7cd911fceb218a27ce5151dc42b0a7a6ee946535cb7ff6c44

Aliases

arxiv: 1106.1974 · arxiv_version: 1106.1974v2 · doi: 10.48550/arxiv.1106.1974 · pith_short_12: 7W34D7WI6OQO · pith_short_16: 7W34D7WI6OQOPTMR · pith_short_8: 7W34D7WI

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/7W34D7WI6OQOPTMRD7HLEGFCPT \
  | 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: fdb7c1fec8f3a0e7cd911fceb218a27ce5151dc42b0a7a6ee946535cb7ff6c44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cea912704334d9c08051f936c9c19ebdbfae1cb2262c59a231096faa6138aca0",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "hep-th",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-06-10T08:25:08Z",
    "title_canon_sha256": "b24260b6e9660364548760391ac6976d4a0e0166efa1bbd1fb0e8eb56a412b77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1974",
    "kind": "arxiv",
    "version": 2
  }
}