Pith Number

pith:4IY3VAQR

pith:1997:4IY3VAQRPRBU5HLMDZ7EQRTD4X

not attested not anchored not stored refs pending

Cauchy Horizon Endpoints and Differentiability

Andrzej Krolak, John K. Beem

arxiv:gr-qc/9709046 v1 · 1997-09-18 · 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{4IY3VAQRPRBU5HLMDZ7EQRTD4X}

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	2026-05-18T01:39:18.889404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e231ba82117c434e9d6c1e7e484663e5c61d5e4dfe25a153a0b6875ebf141135

Aliases

arxiv: gr-qc/9709046 · arxiv_version: gr-qc/9709046v1 · doi: 10.48550/arxiv.gr-qc/9709046 · pith_short_12: 4IY3VAQRPRBU · pith_short_16: 4IY3VAQRPRBU5HLM · pith_short_8: 4IY3VAQR

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/4IY3VAQRPRBU5HLMDZ7EQRTD4X \
  | 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: e231ba82117c434e9d6c1e7e484663e5c61d5e4dfe25a153a0b6875ebf141135

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e4d6afde730826b7877868dc54a3c17d2a6d815cddc4b66f9affbf63843dd64e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-09-18T08:55:54Z",
    "title_canon_sha256": "1f203f6418279373e3986132d862702f8dcebd7ae16080fa15cc91e200a7070f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9709046",
    "kind": "arxiv",
    "version": 1
  }
}