Pith Number

pith:CIEJZXON

pith:2012:CIEJZXONRK6CRWKDCNBWVIZP7X

not attested not anchored not stored refs pending

Invariant classification of vacuum PP-waves

Alan Coley, David McNutt, Robert Milson

arxiv:1209.5081 v1 · 2012-09-23 · 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{CIEJZXONRK6CRWKDCNBWVIZP7X}

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	2026-05-18T01:54:19.785945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12089cddcd8abc28d94313436aa32ffdda4d9dc3f2e8cda2a2db8d5b91fd9591

Aliases

arxiv: 1209.5081 · arxiv_version: 1209.5081v1 · doi: 10.48550/arxiv.1209.5081 · pith_short_12: CIEJZXONRK6C · pith_short_16: CIEJZXONRK6CRWKD · pith_short_8: CIEJZXON

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/CIEJZXONRK6CRWKDCNBWVIZP7X \
  | 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: 12089cddcd8abc28d94313436aa32ffdda4d9dc3f2e8cda2a2db8d5b91fd9591

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdf4df672c221fe4a7721b26c02f005e4ca20b5c9a317f1f69915a8b5099e9e1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2012-09-23T16:15:09Z",
    "title_canon_sha256": "344428586064f356a25e16947ee9f6cbd9f75c41dcc8227356ea9652969bd04d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5081",
    "kind": "arxiv",
    "version": 1
  }
}