Pith Number

pith:VFKLG6MX

pith:1999:VFKLG6MXWWBCXYOIYX3Z5OQGPF

not attested not anchored not stored refs pending

Nonlinear Effects in the Cosmic Microwave Background

Roy Maartens (Portsmouth)

arxiv:astro-ph/9907284 v1 · 1999-07-21 · astro-ph · 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{VFKLG6MXWWBCXYOIYX3Z5OQGPF}

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	2026-05-18T01:40:12.874166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a954b37997b5822be1c8c5f79eba06796b045ba5e1d58c0729f44f2c4888a48e

Aliases

arxiv: astro-ph/9907284 · arxiv_version: astro-ph/9907284v1 · doi: 10.48550/arxiv.astro-ph/9907284 · pith_short_12: VFKLG6MXWWBC · pith_short_16: VFKLG6MXWWBCXYOI · pith_short_8: VFKLG6MX

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/VFKLG6MXWWBCXYOIYX3Z5OQGPF \
  | 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: a954b37997b5822be1c8c5f79eba06796b045ba5e1d58c0729f44f2c4888a48e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aab08f08dd144e3a385871f88f1695e013d4416ee3f0a46e76ec61456170152f",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1999-07-21T09:53:23Z",
    "title_canon_sha256": "8526d0656a1445292b7f3425f0d46e5edc7f246ba36ca904dba7955b769b69ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9907284",
    "kind": "arxiv",
    "version": 1
  }
}