Pith Number

pith:BBPJ5IK4

pith:2011:BBPJ5IK4Q7M6FZA4GAWXMCOGCL

not attested not anchored not stored refs pending

Visualizing Spacetime Curvature via Frame-Drag Vortexes and Tidal Tendexes I. General Theory and Weak-Gravity Applications

Aaron Zimmerman, David A. Nichols, Fan Zhang, Geoffrey Lovelace, Jeandrew Brink, Jeffrey D. Kaplan, Keith D. Matthews, Kip S. Thorne, Mark A. Scheel, Robert Owen, Yanbei Chen

arxiv:1108.5486 v2 · 2011-08-28 · 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{BBPJ5IK4Q7M6FZA4GAWXMCOGCL}

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	2026-05-18T04:03:21.016280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

085e9ea15c87d9e2e41c302d7609c612d547b84cd6549b1ad32d8a146e9cbfd2

Aliases

arxiv: 1108.5486 · arxiv_version: 1108.5486v2 · doi: 10.48550/arxiv.1108.5486 · pith_short_12: BBPJ5IK4Q7M6 · pith_short_16: BBPJ5IK4Q7M6FZA4 · pith_short_8: BBPJ5IK4

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/BBPJ5IK4Q7M6FZA4GAWXMCOGCL \
  | 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: 085e9ea15c87d9e2e41c302d7609c612d547b84cd6549b1ad32d8a146e9cbfd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45c0ec393343a2f4ef8233f9af3e56e6ee37a32e774c7db8d03de53cf3ce017b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-08-28T01:53:54Z",
    "title_canon_sha256": "ecc60a0933f025485d98ee39777720f574692ebcadc4c34af59141e151ae30f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5486",
    "kind": "arxiv",
    "version": 2
  }
}