Pith Number

pith:XI5DQW6W

pith:2012:XI5DQW6WV2DEBK74QVYMB2SPJ2

not attested not anchored not stored refs pending

Toroidal metrics: gravitational solenoids and static shells

Donald Lynden-Bell, Joseph Katz

arxiv:1205.1616 v1 · 2012-05-08 · 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{XI5DQW6WV2DEBK74QVYMB2SPJ2}

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	2026-05-18T03:55:35.091358Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3a385bd6ae8640abfc8570c0ea4f4e88baaae277ba8e359346cc689c8a8484

Aliases

arxiv: 1205.1616 · arxiv_version: 1205.1616v1 · doi: 10.48550/arxiv.1205.1616 · pith_short_12: XI5DQW6WV2DE · pith_short_16: XI5DQW6WV2DEBK74 · pith_short_8: XI5DQW6W

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/XI5DQW6WV2DEBK74QVYMB2SPJ2 \
  | 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: ba3a385bd6ae8640abfc8570c0ea4f4e88baaae277ba8e359346cc689c8a8484

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5936fdc25ee06d2bf0e490b27b2297fe42972bb38311103b0a68a9d8052f2da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-05-08T07:43:02Z",
    "title_canon_sha256": "6379ca3368366b53574dceeefe4fcf52ebe69a6acdd9399cbe01b2e2b8be08b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.1616",
    "kind": "arxiv",
    "version": 1
  }
}