Pith Number

pith:WMW3BIDS

pith:2009:WMW3BIDS2Y5BD6IQKO5QQ5F5D6

not attested not anchored not stored refs pending

Cross-entropy optimiser: a new tool to study precession in astrophysical jets

A. Caproni, H. Monteiro, Z. Abraham

arxiv:0907.1811 v1 · 2009-07-10 · astro-ph.CO · astro-ph.HE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WMW3BIDS2Y5BD6IQKO5QQ5F5D6}

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	2026-05-18T02:13:03.975390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b32db0a072d63a11f91053bb0874bd1f9e20833b59952050769a86c3a33d96f8

Aliases

arxiv: 0907.1811 · arxiv_version: 0907.1811v1 · doi: 10.48550/arxiv.0907.1811 · pith_short_12: WMW3BIDS2Y5B · pith_short_16: WMW3BIDS2Y5BD6IQ · pith_short_8: WMW3BIDS

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/WMW3BIDS2Y5BD6IQKO5QQ5F5D6 \
  | 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: b32db0a072d63a11f91053bb0874bd1f9e20833b59952050769a86c3a33d96f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1df4e92e6ad7aac2dbf1169cc43ccc5763fb114bce75ce24669e6eb82589ce64",
    "cross_cats_sorted": [
      "astro-ph.HE"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-07-10T13:23:19Z",
    "title_canon_sha256": "695efaa823bd9efde235901f7d2c25c889e24531f9e6a5da73d00d86214a3d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0907.1811",
    "kind": "arxiv",
    "version": 1
  }
}