Pith Number

pith:R3IVKFVB

pith:2001:R3IVKFVBFNBO3BEEPBCSXT2G5O

not attested not anchored not stored refs pending

Stability criterion for self-similar solutions with perfect fluids in general relativity

Tomohiro Harada

arxiv:gr-qc/0109042 v2 · 2001-09-12 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R3IVKFVBFNBO3BEEPBCSXT2G5O}

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

Unveiling horizons in quantum critical collapse

Receipt and verification

First computed	2026-07-04T16:26:57.455444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ed15516a12b42ed848478452bcf46ebbdf2609974702ff5a89578bba3441c55

Aliases

arxiv: gr-qc/0109042 · arxiv_version: gr-qc/0109042v2 · doi: 10.48550/arxiv.gr-qc/0109042 · pith_short_12: R3IVKFVBFNBO · pith_short_16: R3IVKFVBFNBO3BEE · pith_short_8: R3IVKFVB

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/R3IVKFVBFNBO3BEEPBCSXT2G5O \
  | 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: 8ed15516a12b42ed848478452bcf46ebbdf2609974702ff5a89578bba3441c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b6ba64b0b3166775b9f141a9c180508ad0a48c08dcba677274fdc8b263c54945",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-09-12T07:46:45Z",
    "title_canon_sha256": "fc6f5d621ec8f15acc817dfcca6d03fd8edaf8d85829d1580521dead5bbb274a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0109042",
    "kind": "arxiv",
    "version": 2
  }
}