Pith Number

pith:VQPVROLB

pith:1997:VQPVROLBXWHNQJPAJ2ZRVHNH2H

not attested not anchored not stored refs pending

Investigation of the Interior of Colored Black Holes and the Extendability of Solutions of the Einstein-Yang/Mills Equations

A. G. Wasserman (University of Michigan), J. A. Smoller

arxiv:gr-qc/9706039 v1 · 1997-06-13 · 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{VQPVROLBXWHNQJPAJ2ZRVHNH2H}

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	2026-05-18T04:35:33.996774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac1f58b961bd8ed825e04eb31a9da7d1f78adb055157b975d6e183d2a2435189

Aliases

arxiv: gr-qc/9706039 · arxiv_version: gr-qc/9706039v1 · doi: 10.48550/arxiv.gr-qc/9706039 · pith_short_12: VQPVROLBXWHN · pith_short_16: VQPVROLBXWHNQJPA · pith_short_8: VQPVROLB

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/VQPVROLBXWHNQJPAJ2ZRVHNH2H \
  | 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: ac1f58b961bd8ed825e04eb31a9da7d1f78adb055157b975d6e183d2a2435189

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c64989105110e12dc0a6517d89574929d80747a51d63ed54e4679a71cb95e972",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-06-13T16:31:36Z",
    "title_canon_sha256": "4406a1fabef58c7bb38850508f2b17d2a7c41155ce9d3b46d3bb8aa9164ec6e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9706039",
    "kind": "arxiv",
    "version": 1
  }
}