Pith Number

pith:WVSOIA6L

pith:2000:WVSOIA6LUIH3HWNSZP6PHGEYOS

not attested not anchored not stored refs pending

The close limit from a null point of view: the advanced solution

Jeffrey Winicour, Manuela Campanelli, Roberto Gomez, Sascha Husa, Yosef Zlochower

arxiv:gr-qc/0012107 v2 · 2000-12-28 · 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{WVSOIA6LUIH3HWNSZP6PHGEYOS}

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	2026-07-04T16:19:44.603339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b564e403cba20fb3d9b2cbfcf39898748df3552138e3900af2e204856bb4c2ba

Aliases

arxiv: gr-qc/0012107 · arxiv_version: gr-qc/0012107v2 · doi: 10.48550/arxiv.gr-qc/0012107 · pith_short_12: WVSOIA6LUIH3 · pith_short_16: WVSOIA6LUIH3HWNS · pith_short_8: WVSOIA6L

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/WVSOIA6LUIH3HWNSZP6PHGEYOS \
  | 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: b564e403cba20fb3d9b2cbfcf39898748df3552138e3900af2e204856bb4c2ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd8fe304c76efbd19dd3f538c4e6b1caa352555df19007c0b0bc8c0df0a981ef",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-12-28T21:14:25Z",
    "title_canon_sha256": "c066be592e40e6fc925060dd9e3ffeb3cf99c7cb11fe63504760276b30b21311"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0012107",
    "kind": "arxiv",
    "version": 2
  }
}