Pith Number

pith:2MQMBDLS

pith:2000:2MQMBDLSLRTA4FUDQ53MGBOBXG

not attested not anchored not stored refs pending

Quantum Perturbative Approach to Discrete Redshift

Mark D. Roberts

arxiv:astro-ph/0002434 v3 · 2000-02-23 · astro-ph · gr-qc · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2MQMBDLSLRTA4FUDQ53MGBOBXG}

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	2026-05-18T04:25:12.088163Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d320c08d725c660e16838776c305c1b9aa51b45b7e0c7298c346787537bc027f

Aliases

arxiv: astro-ph/0002434 · arxiv_version: astro-ph/0002434v3 · doi: 10.48550/arxiv.astro-ph/0002434 · pith_short_12: 2MQMBDLSLRTA · pith_short_16: 2MQMBDLSLRTA4FUD · pith_short_8: 2MQMBDLS

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/2MQMBDLSLRTA4FUDQ53MGBOBXG \
  | 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: d320c08d725c660e16838776c305c1b9aa51b45b7e0c7298c346787537bc027f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52e901a5b0ab3134ff4cf79a1e7afb68b8a422e04b6a0e1a8449680b7b7cbb09",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-02-23T15:25:31Z",
    "title_canon_sha256": "8181a5e713eb4e14ae6f2cc801eccefdc5ab115f8fbbf507897eb8d76a5c74dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0002434",
    "kind": "arxiv",
    "version": 3
  }
}