Pith Number

pith:5RRPCLWZ

pith:2006:5RRPCLWZ3CZ3HQL7A745CXH3WI

not attested not anchored not stored refs pending

Late-time oscillatory behaviour for self-gravitating scalar fields

Alan D. Rendall

arxiv:gr-qc/0611088 v2 · 2006-11-16 · 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{5RRPCLWZ3CZ3HQL7A745CXH3WI}

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	2026-07-04T15:16:37.902167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec62f12ed9d8b3b3c17f07f9d15cfbb23efd04df2dace66749621966583cd201

Aliases

arxiv: gr-qc/0611088 · arxiv_version: gr-qc/0611088v2 · doi: 10.48550/arxiv.gr-qc/0611088 · pith_short_12: 5RRPCLWZ3CZ3 · pith_short_16: 5RRPCLWZ3CZ3HQL7 · pith_short_8: 5RRPCLWZ

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/5RRPCLWZ3CZ3HQL7A745CXH3WI \
  | 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: ec62f12ed9d8b3b3c17f07f9d15cfbb23efd04df2dace66749621966583cd201

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01aff98c58d0aff6b1090eaaa86412ae2280a30b1cb8a094095e231d13b7f1dd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-11-16T15:21:11Z",
    "title_canon_sha256": "3c400be90a3baa00c3ce16dd13cd01af9c90ba111560e7918cc9bd252d7beb96"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0611088",
    "kind": "arxiv",
    "version": 2
  }
}