Pith Number

pith:JU4MDP6I

pith:2005:JU4MDP6IMEIQ4YJSIIXLKZOP6Z

not attested not anchored not stored refs pending

Self-similar solutions for relativistic shocks emerging from stars with polytropic envelopes

Margaret Pan, Re'em Sari (CALTECH)

arxiv:astro-ph/0505176 v2 · 2005-05-09 · 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{JU4MDP6IMEIQ4YJSIIXLKZOP6Z}

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	2026-07-04T16:52:20.738909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d38c1bfc861110e6132422eb565cff66aecd0acce33e94750f616e94eff2caa

Aliases

arxiv: astro-ph/0505176 · arxiv_version: astro-ph/0505176v2 · doi: 10.48550/arxiv.astro-ph/0505176 · pith_short_12: JU4MDP6IMEIQ · pith_short_16: JU4MDP6IMEIQ4YJS · pith_short_8: JU4MDP6I

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/JU4MDP6IMEIQ4YJSIIXLKZOP6Z \
  | 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: 4d38c1bfc861110e6132422eb565cff66aecd0acce33e94750f616e94eff2caa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca308104621e6601a44a47e4511e0b64c71773a669293cb2401099286aa8545a",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "2005-05-09T20:47:34Z",
    "title_canon_sha256": "41ecf439318c64f5c31bdc139da7283a847734a4ccb0881064362b3ecc9b90c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/0505176",
    "kind": "arxiv",
    "version": 2
  }
}