Pith Number

pith:IZK6FDUS

pith:2003:IZK6FDUSXN7WILN7B24QSOZG2G

not attested not anchored not stored refs pending

On smooth Cauchy hypersurfaces and Geroch's splitting theorem

Antonio N. Bernal, Miguel S\'anchez

arxiv:gr-qc/0306108 v2 · 2003-06-23 · 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{IZK6FDUSXN7WILN7B24QSOZG2G}

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

2 papers in Pith

The Fermionic Signature Operator in the Reissner-Nordstr\"om Geometry in Horizon-Penetrating Coordinates

Non-perturbative, background independent canonical quantum gravity in Fock representations

Receipt and verification

First computed	2026-07-04T16:40:13.952370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4655e28e92bb7f642dbf0eb9093b26d19a77134abaf65df5ff4b20e7d39723a3

Aliases

arxiv: gr-qc/0306108 · arxiv_version: gr-qc/0306108v2 · doi: 10.48550/arxiv.gr-qc/0306108 · pith_short_12: IZK6FDUSXN7W · pith_short_16: IZK6FDUSXN7WILN7 · pith_short_8: IZK6FDUS

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/IZK6FDUSXN7WILN7B24QSOZG2G \
  | 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: 4655e28e92bb7f642dbf0eb9093b26d19a77134abaf65df5ff4b20e7d39723a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3207948789a6af0b01fc157b50e47de883beff16d4fcec19332fb8cb31178a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2003-06-23T20:19:51Z",
    "title_canon_sha256": "c616a0e62755c0b39eaf79f5730eabd56a512fff79d40bfebc9e207a592c94e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0306108",
    "kind": "arxiv",
    "version": 2
  }
}