Pith Number

pith:DK7O7VB2

pith:2011:DK7O7VB2SACDC75KIABPUWXUVW

not attested not anchored not stored refs pending

An Improved Treatment of Optics in the Lindquist-Wheeler Models

Kane O'Donnell, Pedro G. Ferreira, Timothy Clifton

arxiv:1110.3191 v2 · 2011-10-14 · astro-ph.CO · 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{DK7O7VB2SACDC75KIABPUWXUVW}

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	2026-05-18T03:23:13.080912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1abeefd43a9004317faa4002fa5af4ad95731180a2070e329b6be169d24451d5

Aliases

arxiv: 1110.3191 · arxiv_version: 1110.3191v2 · doi: 10.48550/arxiv.1110.3191 · pith_short_12: DK7O7VB2SACD · pith_short_16: DK7O7VB2SACDC75K · pith_short_8: DK7O7VB2

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/DK7O7VB2SACDC75KIABPUWXUVW \
  | 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: 1abeefd43a9004317faa4002fa5af4ad95731180a2070e329b6be169d24451d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39c0239c11a0743841a0098c889bd4863a7ee15d49887b3e36edbbf20af08c70",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2011-10-14T12:51:14Z",
    "title_canon_sha256": "64c5c87364d9a555b430c1d53ad0a17edd68609be56e206053a820a0f66c9347"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3191",
    "kind": "arxiv",
    "version": 2
  }
}