Pith Number

pith:VC6PF7A4

pith:2011:VC6PF7A43BPIHNHPNYCTKIAMWE

not attested not anchored not stored refs pending

Classifying the Isolated Zeros of Asymptotic Gravitational Radiation by Tendex and Vortex Lines

Aaron Zimmerman, David A. Nichols, Fan Zhang

arxiv:1107.2959 v2 · 2011-07-14 · 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{VC6PF7A43BPIHNHPNYCTKIAMWE}

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	2026-05-18T04:13:56.155719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8bcf2fc1cd85e83b4ef6e0535200cb12c8c8b9ffa070c90d0ff4f21b168c82f

Aliases

arxiv: 1107.2959 · arxiv_version: 1107.2959v2 · doi: 10.48550/arxiv.1107.2959 · pith_short_12: VC6PF7A43BPI · pith_short_16: VC6PF7A43BPIHNHP · pith_short_8: VC6PF7A4

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/VC6PF7A43BPIHNHPNYCTKIAMWE \
  | 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: a8bcf2fc1cd85e83b4ef6e0535200cb12c8c8b9ffa070c90d0ff4f21b168c82f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ce70388bd0f58305da3e252efbcae2136bf6dc906b3dac52dbf0905b1fab86",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-07-14T21:48:42Z",
    "title_canon_sha256": "6f970f6a981561c6b762811ac66aa3cf0386d306b48df32fdf7b3bd7583be04f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.2959",
    "kind": "arxiv",
    "version": 2
  }
}