Pith Number

pith:BCZYQK4P

pith:1997:BCZYQK4PGKMNDK3IN2S27IWLVT

not attested not anchored not stored refs pending

Spherical scalar waves and gravity - red shift and backscattering

Edward Malec, Niall \'O Murchadha, Tadeusz Chmaj

arxiv:gr-qc/9712022 v1 · 1997-12-03 · gr-qc · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BCZYQK4PGKMNDK3IN2S27IWLVT}

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	2026-05-18T04:35:33.929489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08b3882b8f3298d1ab686ea5afa2cbacc982141638eaf14c65675f8e0f5985a7

Aliases

arxiv: gr-qc/9712022 · arxiv_version: gr-qc/9712022v1 · doi: 10.48550/arxiv.gr-qc/9712022 · pith_short_12: BCZYQK4PGKMN · pith_short_16: BCZYQK4PGKMNDK3I · pith_short_8: BCZYQK4P

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/BCZYQK4PGKMNDK3IN2S27IWLVT \
  | 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: 08b3882b8f3298d1ab686ea5afa2cbacc982141638eaf14c65675f8e0f5985a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82ea3f7336f8359763d79749a51a6a5ee1828ecaa78d98ef3f816ad440f4586b",
    "cross_cats_sorted": [
      "astro-ph"
    ],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "1997-12-03T17:45:29Z",
    "title_canon_sha256": "b4f28339fabc850076db10ab17b9d19610103b4cffd207c902d4d042c2b17931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/9712022",
    "kind": "arxiv",
    "version": 1
  }
}