Pith Number

pith:SW7F4VTW

pith:2005:SW7F4VTWDIEZEUWVNTKM7EBCWK

not attested not anchored not stored refs pending

T-spheres as a limit of Lemaitre-Tolman-Bondi solutions

O. B. Zaslavskii

arxiv:gr-qc/0509043 v2 · 2005-09-13 · gr-qc · astro-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SW7F4VTWDIEZEUWVNTKM7EBCWK}

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	2026-05-18T01:39:20.423235Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95be5e56761a099252d56cd4cf9022b2a024b58be1d54ab9ccbd05a452035869

Aliases

arxiv: gr-qc/0509043 · arxiv_version: gr-qc/0509043v2 · doi: 10.48550/arxiv.gr-qc/0509043 · pith_short_12: SW7F4VTWDIEZ · pith_short_16: SW7F4VTWDIEZEUWV · pith_short_8: SW7F4VTW

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/SW7F4VTWDIEZEUWVNTKM7EBCWK \
  | 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: 95be5e56761a099252d56cd4cf9022b2a024b58be1d54ab9ccbd05a452035869

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "639bad5555dd8bbc603ba861d634c66ebf087c04d23b8cfd359bb10b65169eb9",
    "cross_cats_sorted": [
      "astro-ph",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-09-13T08:10:05Z",
    "title_canon_sha256": "990aad2292c23762532b19dc305a4949395e2a63e928719301b168954abbfab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0509043",
    "kind": "arxiv",
    "version": 2
  }
}