Pith Number

pith:QXAPFB3G

pith:1993:QXAPFB3GBKADVHVST7T3ZRXGXN

not attested not anchored not stored refs pending

Hydrodynamics of Relativistic Fireballs

Amotz Shemi, Ramesh Narayan, Tsvi Piran

arxiv:astro-ph/9301004 v1 · 1993-01-12 · 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{QXAPFB3GBKADVHVST7T3ZRXGXN}

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	2026-05-18T01:40:26.776897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

85c0f287660a803a9eb29fe7bcc6e6bb423d53c2fc2fbd319e4a8515867c3773

Aliases

arxiv: astro-ph/9301004 · arxiv_version: astro-ph/9301004v1 · doi: 10.48550/arxiv.astro-ph/9301004 · pith_short_12: QXAPFB3GBKAD · pith_short_16: QXAPFB3GBKADVHVS · pith_short_8: QXAPFB3G

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/QXAPFB3GBKADVHVST7T3ZRXGXN \
  | 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: 85c0f287660a803a9eb29fe7bcc6e6bb423d53c2fc2fbd319e4a8515867c3773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2bad2330010ed9f7714884b02ccf61f2f8fba764f278fe55fa01ab3b6873056",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1993-01-12T16:41:48Z",
    "title_canon_sha256": "2e41061515125f540a87a5614b63aeb58e8b95c621c4f65aa7f092ff2fb78810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9301004",
    "kind": "arxiv",
    "version": 1
  }
}