Pith Number

pith:MKAA5WQI

pith:2001:MKAA5WQIMFZNNEU26VL6LHXWOJ

not attested not anchored not stored refs pending

Remarks on the distributional Schwarzschild geometry

J.Mark Heinzle, Roland Steinbauer

arxiv:gr-qc/0112047 v1 · 2001-12-19 · gr-qc · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MKAA5WQIMFZNNEU26VL6LHXWOJ}

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	2026-05-18T01:39:23.925635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62800eda086172d6929af557e59ef6726978694bde05986e39b105fd4c5237c1

Aliases

arxiv: gr-qc/0112047 · arxiv_version: gr-qc/0112047v1 · doi: 10.48550/arxiv.gr-qc/0112047 · pith_short_12: MKAA5WQIMFZN · pith_short_16: MKAA5WQIMFZNNEU2 · pith_short_8: MKAA5WQI

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/MKAA5WQIMFZNNEU26VL6LHXWOJ \
  | 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: 62800eda086172d6929af557e59ef6726978694bde05986e39b105fd4c5237c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "baed66e2a1d96373b052b9b02d4fedc986b0f5dd544b6ebc448be7c509524e2c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2001-12-19T12:14:03Z",
    "title_canon_sha256": "d8b6f6a63c5adfbad2a6cf704aa4ccaf3942e90d590b3e6f325c3bc843a258a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0112047",
    "kind": "arxiv",
    "version": 1
  }
}