Pith Number

pith:WQBHEWVU

pith:2000:WQBHEWVUPJ3CLN4LXX6YDMKFSE

not attested not anchored not stored refs pending

Classification of image distortions in terms of Petrov types

Thoralf Chrobok, Volker Perlick

arxiv:gr-qc/0012088 v2 · 2000-12-21 · 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{WQBHEWVUPJ3CLN4LXX6YDMKFSE}

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	2026-05-18T02:37:36.228902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b402725ab47a7625b78bbdfd81b14591279afa8e6371cbabae52c01ea48d16d9

Aliases

arxiv: gr-qc/0012088 · arxiv_version: gr-qc/0012088v2 · doi: 10.48550/arxiv.gr-qc/0012088 · pith_short_12: WQBHEWVUPJ3C · pith_short_16: WQBHEWVUPJ3CLN4L · pith_short_8: WQBHEWVU

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/WQBHEWVUPJ3CLN4LXX6YDMKFSE \
  | 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: b402725ab47a7625b78bbdfd81b14591279afa8e6371cbabae52c01ea48d16d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd209ec794e03ec51bd74d94e366ff5c00b99f4e52e932620b71e3f3557a699e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-21T14:42:21Z",
    "title_canon_sha256": "1bb68305d1ff99ced06cb86a9450fce38704f3f60b30c4b775550b6cd7d488e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012088",
    "kind": "arxiv",
    "version": 2
  }
}