Pith Number

pith:WHR7ZS6T

pith:1998:WHR7ZS6TFTYUQ7D7NXHRBY2D6X

not attested not anchored not stored refs pending

Scale invariance and critical gravitational collapse

David Garfinkle, Ken Meyer

arxiv:gr-qc/9806052 v2 · 1998-06-10 · 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{WHR7ZS6TFTYUQ7D7NXHRBY2D6X}

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	2026-05-18T01:08:06.310271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b1e3fccbd32cf1487c7f6dcf10e343f5f9ea0dfe17d994a14e74c5fea28c109a

Aliases

arxiv: gr-qc/9806052 · arxiv_version: gr-qc/9806052v2 · doi: 10.48550/arxiv.gr-qc/9806052 · pith_short_12: WHR7ZS6TFTYU · pith_short_16: WHR7ZS6TFTYUQ7D7 · pith_short_8: WHR7ZS6T

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/WHR7ZS6TFTYUQ7D7NXHRBY2D6X \
  | 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: b1e3fccbd32cf1487c7f6dcf10e343f5f9ea0dfe17d994a14e74c5fea28c109a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f5adff9ab33777d1b3a9b31e82b4d66a6b41f8a6cd950aac4d1f18f9e34e118",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1998-06-10T22:54:40Z",
    "title_canon_sha256": "65b20029125572af87463046fb5b37ae29b619ecdd6507fc648957d5c84b9fe6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9806052",
    "kind": "arxiv",
    "version": 2
  }
}