Pith Number

pith:IQJMC6PK

pith:2005:IQJMC6PKSFMRVNUTX65K6EQKPN

not attested not anchored not stored refs pending

Further results on the smoothability of Cauchy hypersurfaces and Cauchy time functions

Antonio N. Bernal, Miguel S\'anchez

arxiv:gr-qc/0512095 v1 · 2005-12-15 · gr-qc · math.DG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IQJMC6PKSFMRVNUTX65K6EQKPN}

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.

Cited by

1 paper in Pith

The Making of von Neumann Algebras from Bulk Focusing

Receipt and verification

First computed	2026-07-04T16:55:21.317797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4412c179ea91591ab693bfbaaf120a7b67fd964902d4ce5868054320412ec4a5

Aliases

arxiv: gr-qc/0512095 · arxiv_version: gr-qc/0512095v1 · doi: 10.48550/arxiv.gr-qc/0512095 · pith_short_12: IQJMC6PKSFMR · pith_short_16: IQJMC6PKSFMRVNUT · pith_short_8: IQJMC6PK

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/IQJMC6PKSFMRVNUTX65K6EQKPN \
  | 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: 4412c179ea91591ab693bfbaaf120a7b67fd964902d4ce5868054320412ec4a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f894e0321975fce4ad141fbe3ee70957866ddce0e689e44242fd4179afeb774",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-12-15T18:57:39Z",
    "title_canon_sha256": "a96b1cdecb4c0764075418e903587a9e09f01a164aa725afea1c6279d49c205c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0512095",
    "kind": "arxiv",
    "version": 1
  }
}