Pith Number

pith:XHZ4CCOS

pith:2011:XHZ4CCOSU2HA467TDTOIFFILBZ

not attested not anchored not stored refs pending

Gauge and Averaging in Gravitational Self-force

Samuel E. Gralla

arxiv:1104.5635 v2 · 2011-04-29 · 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{XHZ4CCOSU2HA467TDTOIFFILBZ}

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	2026-05-18T03:23:34.515766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9f3c109d2a68e0e7bf31cdc82950b0e57606d4e2b4ed7fcfc16d036c1763ff5

Aliases

arxiv: 1104.5635 · arxiv_version: 1104.5635v2 · doi: 10.48550/arxiv.1104.5635 · pith_short_12: XHZ4CCOSU2HA · pith_short_16: XHZ4CCOSU2HA467T · pith_short_8: XHZ4CCOS

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/XHZ4CCOSU2HA467TDTOIFFILBZ \
  | 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: b9f3c109d2a68e0e7bf31cdc82950b0e57606d4e2b4ed7fcfc16d036c1763ff5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6e9d956ba1b3163a5f2f3e99fbb63dafa1e0002d35503123a2ccf5ca570480b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2011-04-29T14:25:28Z",
    "title_canon_sha256": "ac0b632f46a6a8ff3ac7895653141c00eb3fff89970a07dc3741cdb9504b5b0a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.5635",
    "kind": "arxiv",
    "version": 2
  }
}