Pith Number

pith:O3YJ6SIT

pith:2012:O3YJ6SITAXFWTGMRETZLC6NNQE

not attested not anchored not stored refs pending

Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes II. Stationary Black Holes

Aaron Zimmerman, David A. Nichols, Fan Zhang, Geoffrey Lovelace, Keith D. Matthews, Kip S. Thorne, Robert Owen, Yanbei Chen

arxiv:1208.3034 v3 · 2012-08-15 · 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{O3YJ6SITAXFWTGMRETZLC6NNQE}

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

Trapping, Irregular Waveforms, and Efficient Radiation in Ultra-relativistic Black Hole Encounters

Receipt and verification

First computed	2026-05-18T03:34:59.226450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76f09f491305cb69999124f2b179ad8101f158b6942ca5cf26b0791006afcb89

Aliases

arxiv: 1208.3034 · arxiv_version: 1208.3034v3 · doi: 10.48550/arxiv.1208.3034 · pith_short_12: O3YJ6SITAXFW · pith_short_16: O3YJ6SITAXFWTGMR · pith_short_8: O3YJ6SIT

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/O3YJ6SITAXFWTGMRETZLC6NNQE \
  | 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: 76f09f491305cb69999124f2b179ad8101f158b6942ca5cf26b0791006afcb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc30e3a7a0d3d06f4a7ec02bd859a3f44bf15e25ee40d4db67d330779f253c4e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-08-15T05:53:06Z",
    "title_canon_sha256": "66ded9a214ea0d941bf9340a8ed6b3965b9107c4e87cd2debc0fb67df8134a93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3034",
    "kind": "arxiv",
    "version": 3
  }
}