Pith Number

pith:K4VU4LML

pith:2016:K4VU4LMLBVCWEYSI4KPIRZGCFE

not attested not anchored not stored refs pending

Spectator fields and their imprints on the Cosmic Microwave Background

Lingfei Wang

arxiv:1610.03123 v1 · 2016-10-10 · astro-ph.CO · gr-qc · hep-ph · 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{K4VU4LMLBVCWEYSI4KPIRZGCFE}

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	2026-05-18T01:02:46.486596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

572b4e2d8b0d45626248e29e88e4c2293aadb075704ac097ed244dbf5bce8d78

Aliases

arxiv: 1610.03123 · arxiv_version: 1610.03123v1 · doi: 10.48550/arxiv.1610.03123 · pith_short_12: K4VU4LMLBVCW · pith_short_16: K4VU4LMLBVCWEYSI · pith_short_8: K4VU4LML

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/K4VU4LMLBVCWEYSI4KPIRZGCFE \
  | 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: 572b4e2d8b0d45626248e29e88e4c2293aadb075704ac097ed244dbf5bce8d78

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7df63a36d2696e84f01c856a8bd5168d77966375975dd3f93aa58b18a03576a9",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-10-10T22:58:38Z",
    "title_canon_sha256": "328a831510ef2a6508fa8a88c099b54d238c0e08a928f53df131cbfa03835f73"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.03123",
    "kind": "arxiv",
    "version": 1
  }
}