Pith Number

pith:52GZ26QG

pith:2006:52GZ26QGZOOEFDWAMKYFWGKPHM

not attested not anchored not stored refs pending

Much ado about nothing: a treatise on empty and not-so-empty spacetimes

Damien Martin

arxiv:gr-qc/0607022 v1 · 2006-07-06 · 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{52GZ26QGZOOEFDWAMKYFWGKPHM}

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

Pressure profile bounds from relaxing the TOV equation

Receipt and verification

First computed	2026-07-04T14:55:25.768137Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee8d9d7a06cb9c428ec062b05b194f3b2ba63b5ede1488ab3a3a813d42a3e0fb

Aliases

arxiv: gr-qc/0607022 · arxiv_version: gr-qc/0607022v1 · doi: 10.48550/arxiv.gr-qc/0607022 · pith_short_12: 52GZ26QGZOOE · pith_short_16: 52GZ26QGZOOEFDWA · pith_short_8: 52GZ26QG

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/52GZ26QGZOOEFDWAMKYFWGKPHM \
  | 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: ee8d9d7a06cb9c428ec062b05b194f3b2ba63b5ede1488ab3a3a813d42a3e0fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "203b9d489f3a74bbf695813f8bf48852dee0fd1ef4e3e979c40b2dd74fc5e60a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2006-07-06T03:54:39Z",
    "title_canon_sha256": "381ca07cfa07bf37e5aa5aa5c2aae31aa8441f09f6a76ced81295bbc47bfd5ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0607022",
    "kind": "arxiv",
    "version": 1
  }
}