Pith Number

pith:WQLZ3PD3

pith:2014:WQLZ3PD33PWWTRZHOUIK7BN5U7

not attested not anchored not stored refs pending

Cosmological Perturbations: Vorticity, Isocurvature and Magnetic Fields

Adam J. Christopherson

arxiv:1409.4721 v1 · 2014-09-16 · 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{WQLZ3PD33PWWTRZHOUIK7BN5U7}

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	2026-05-18T01:42:02.046931Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4179dbc7bdbed69c7277510af85bda7ff6b81e6b534112ccbebeb6a477b939a

Aliases

arxiv: 1409.4721 · arxiv_version: 1409.4721v1 · doi: 10.48550/arxiv.1409.4721 · pith_short_12: WQLZ3PD33PWW · pith_short_16: WQLZ3PD33PWWTRZH · pith_short_8: WQLZ3PD3

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/WQLZ3PD33PWWTRZHOUIK7BN5U7 \
  | 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: b4179dbc7bdbed69c7277510af85bda7ff6b81e6b534112ccbebeb6a477b939a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3607e3a64d8d53ac885626e50a7d0e05e633cc63794ffaec79b9e25ed2c94b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-09-16T18:14:41Z",
    "title_canon_sha256": "6480959cbb8b6ebc824eafdef61507ac33cb79e95c56b64059887ff633b2e73c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.4721",
    "kind": "arxiv",
    "version": 1
  }
}