Pith Number

pith:GW3YP2UT

pith:2000:GW3YP2UTKDMAE2JMNVQYHQTMCX

not attested not anchored not stored refs pending

On fine differentiability properties of horizons and applications to Riemannian geometry

G.J. Galloway, J.H.G. Fu, P.T. Chrusciel, R. Howard

arxiv:gr-qc/0011067 v1 · 2000-11-20 · 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{GW3YP2UTKDMAE2JMNVQYHQTMCX}

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	2026-05-18T01:39:24.534546Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35b787ea9350d802692c6d6183c26c15c264cd7bea788af479a364f6ab3283b0

Aliases

arxiv: gr-qc/0011067 · arxiv_version: gr-qc/0011067v1 · doi: 10.48550/arxiv.gr-qc/0011067 · pith_short_12: GW3YP2UTKDMA · pith_short_16: GW3YP2UTKDMAE2JM · pith_short_8: GW3YP2UT

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/GW3YP2UTKDMAE2JMNVQYHQTMCX \
  | 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: 35b787ea9350d802692c6d6183c26c15c264cd7bea788af479a364f6ab3283b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c4e11ebb671233633d86a1bf93d8c22346dcb9ec8722294f4842f38a2eab1f8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2000-11-20T10:27:39Z",
    "title_canon_sha256": "3535eafc4b1e3a5953d83a186b8b39b003d6899811fd63d49973e2e8b620dd39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0011067",
    "kind": "arxiv",
    "version": 1
  }
}