Pith Number

pith:ZOD63S5H

pith:2017:ZOD63S5HRNPTQNOQV5JS3K7EOZ

not attested not anchored not stored refs pending

Cosmological Perturbations of Extreme Axion in the Radiation Era

Tzihong Chiueh, Ui-Han Zhang

arxiv:1705.01439 v2 · 2017-05-03 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOD63S5HRNPTQNOQV5JS3K7EOZ}

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	2026-05-18T00:33:50.008191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb87edcba78b5f3835d0af532dabe4767b574bbda2698b6d0bec23c20e3b57ac

Aliases

arxiv: 1705.01439 · arxiv_version: 1705.01439v2 · doi: 10.48550/arxiv.1705.01439 · pith_short_12: ZOD63S5HRNPT · pith_short_16: ZOD63S5HRNPTQNOQ · pith_short_8: ZOD63S5H

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/ZOD63S5HRNPTQNOQV5JS3K7EOZ \
  | 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: cb87edcba78b5f3835d0af532dabe4767b574bbda2698b6d0bec23c20e3b57ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b052cb83d0765c8bef8bf2c98afad2d6c029b7ce8d96b635a8efeae2dcd42c22",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2017-05-03T14:19:08Z",
    "title_canon_sha256": "c051f73647457c7674505483a5ac9c9ef1d69081a91b46a17e8c89a7647cbe19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.01439",
    "kind": "arxiv",
    "version": 2
  }
}