Pith Number

pith:UGSU4UEY

pith:1999:UGSU4UEYVTF3LJUVL7DR22YPQE

not attested not anchored not stored refs pending

Schwarzschild Atmospheric Processes: A Classical Path to the Quantum

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

arxiv:gr-qc/9910080 v1 · 1999-10-23 · 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{UGSU4UEYVTF3LJUVL7DR22YPQE}

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	2026-05-18T04:24:25.711608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1a54e5098accbb5a6955fc71d6b0f81318c1970839c029c0c5ffc5bbcc52c26

Aliases

arxiv: gr-qc/9910080 · arxiv_version: gr-qc/9910080v1 · doi: 10.48550/arxiv.gr-qc/9910080 · pith_short_12: UGSU4UEYVTF3 · pith_short_16: UGSU4UEYVTF3LJUV · pith_short_8: UGSU4UEY

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/UGSU4UEYVTF3LJUVL7DR22YPQE \
  | 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: a1a54e5098accbb5a6955fc71d6b0f81318c1970839c029c0c5ffc5bbcc52c26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09516cb8d447313a82329c668731cdf15126ba6f773fd5727df4502fe42bb717",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1999-10-23T14:17:04Z",
    "title_canon_sha256": "85d6559f330190690d0cab7c2110008516d921a29a141e798207d5d87f25b3bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9910080",
    "kind": "arxiv",
    "version": 1
  }
}