Pith Number

pith:PAH2BG4K

pith:2000:PAH2BG4KOZXQHTHAL3EDB6PS4J

not attested not anchored not stored refs pending

Beaming and Jets in GRBs

Re'em Sari (CALTECH)

arxiv:astro-ph/0002165 v1 · 2000-02-08 · 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{PAH2BG4KOZXQHTHAL3EDB6PS4J}

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	2026-07-04T14:10:10.145182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

780fa09b8a766f03cce05ec830f9f2e27a248eca94d5b730a209134cc93b6786

Aliases

arxiv: astro-ph/0002165 · arxiv_version: astro-ph/0002165v1 · doi: 10.48550/arxiv.astro-ph/0002165 · pith_short_12: PAH2BG4KOZXQ · pith_short_16: PAH2BG4KOZXQHTHA · pith_short_8: PAH2BG4K

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/PAH2BG4KOZXQHTHAL3EDB6PS4J \
  | 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: 780fa09b8a766f03cce05ec830f9f2e27a248eca94d5b730a209134cc93b6786

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87bf68e8ae4b694bc9e0a29d399e6353a3aca62ecd2de1ca8dc976cc6a5a7f5b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2000-02-08T02:01:04Z",
    "title_canon_sha256": "3584050f928ca3776771ff6fcebdaf641d807bf5568dbea679fe361d6dd49dc0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0002165",
    "kind": "arxiv",
    "version": 1
  }
}