Pith Number

pith:E7WV7WW6

pith:2016:E7WV7WW6U5O75XYDUTOKMOXDWB

not attested not anchored not stored refs pending

Vorticity generation in the Universe: A perturbative approach

Giulia Cusin, Ruth Durrer, Vittorio Tansella

arxiv:1612.00783 v2 · 2016-12-02 · 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{E7WV7WW6U5O75XYDUTOKMOXDWB}

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	2026-05-18T00:47:20.239284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27ed5fdadea75dfedf03a4dca63ae3b04197ff32ec9f3736d87781fb093cf382

Aliases

arxiv: 1612.00783 · arxiv_version: 1612.00783v2 · doi: 10.48550/arxiv.1612.00783 · pith_short_12: E7WV7WW6U5O7 · pith_short_16: E7WV7WW6U5O75XYD · pith_short_8: E7WV7WW6

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/E7WV7WW6U5O75XYDUTOKMOXDWB \
  | 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: 27ed5fdadea75dfedf03a4dca63ae3b04197ff32ec9f3736d87781fb093cf382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66f0aaf8d815ad0831da725f7e3a87067179d5bb08cdc591a9eaf46c77d05d74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2016-12-02T18:33:34Z",
    "title_canon_sha256": "cf2f726813960acbc2ac22ba4e471d8bc68281d88a4c145cac7af014ae9bd9d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00783",
    "kind": "arxiv",
    "version": 2
  }
}