Pith Number

pith:XL4TIL7R

pith:2001:XL4TIL7RI7QWP4LBLBBX44AVO4

not attested not anchored not stored refs pending

Critical Exponents For Schwarzschild-Kerr and BTZ Systems

Ann Arbor, E.N. Glass, J.P. Krisch (Department of Physics, Michgan), University of Michigan

arxiv:gr-qc/0102075 v1 · 2001-02-16 · 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{XL4TIL7RI7QWP4LBLBBX44AVO4}

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	2026-05-18T04:35:35.221170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baf9342ff147e167f16158437e7015770c598ae27d6d22578275d1c5d159aea4

Aliases

arxiv: gr-qc/0102075 · arxiv_version: gr-qc/0102075v1 · doi: 10.48550/arxiv.gr-qc/0102075 · pith_short_12: XL4TIL7RI7QW · pith_short_16: XL4TIL7RI7QWP4LB · pith_short_8: XL4TIL7R

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/XL4TIL7RI7QWP4LBLBBX44AVO4 \
  | 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: baf9342ff147e167f16158437e7015770c598ae27d6d22578275d1c5d159aea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e5ccdbed420d77183cc12c774c5e4ea436d9e5cea6f62bc25adb1e868385a0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-02-16T15:15:54Z",
    "title_canon_sha256": "875dfe41bb90dc4153997fe28f64232c3fe5782acda95fc2192a0692ae2436e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0102075",
    "kind": "arxiv",
    "version": 1
  }
}