Pith Number

pith:YCEOP6QZ

pith:2007:YCEOP6QZQFB3O6Z3FRQQ6UY7RV

not attested not anchored not stored refs pending

Hydrodynamic Collimation of Relativistic Outflows: Semianalytic Solutions and Application to Gamma-Ray Bursts

Amir Levinson, Omer Bromberg

arxiv:0705.2040 v2 · 2007-05-15 · astro-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YCEOP6QZQFB3O6Z3FRQQ6UY7RV}

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	2026-05-18T04:36:42.277970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c088e7fa198143b77b3b2c610f531f8d6c1ffbf1ada190982c7ba9473a20cafe

Aliases

arxiv: 0705.2040 · arxiv_version: 0705.2040v2 · doi: 10.48550/arxiv.0705.2040 · pith_short_12: YCEOP6QZQFB3 · pith_short_16: YCEOP6QZQFB3O6Z3 · pith_short_8: YCEOP6QZ

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/YCEOP6QZQFB3O6Z3FRQQ6UY7RV \
  | 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: c088e7fa198143b77b3b2c610f531f8d6c1ffbf1ada190982c7ba9473a20cafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1c521cdc240f48ca83f62fe5e6a7852984de84a53c4adbcfd4c164b07b676018",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2007-05-15T12:30:47Z",
    "title_canon_sha256": "6d136683c9f1c32ce17f9d03bf87a196cd921948d1b7dae443eee5e8ac2f5069"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.2040",
    "kind": "arxiv",
    "version": 2
  }
}