pith. sign in
Pith Number

pith:AB4UDLTI

pith:2012:AB4UDLTIEDQCYDQFKSU6SIOX54
not attested not anchored not stored refs pending

Turbulence induced additional deceleration in relativistic shock wave propagation: implications for gamma-ray burst

Xue-Wen Liu

arxiv:1206.5700 v1 · 2012-06-25 · astro-ph.HE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{AB4UDLTIEDQCYDQFKSU6SIOX54}

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 2026-05-18T03:52:39.288535Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

007941ae6820e02c0e0554a9e921d7ef3e13acc189310d253110a0c83aaf833d

Aliases

arxiv: 1206.5700 · arxiv_version: 1206.5700v1 · doi: 10.48550/arxiv.1206.5700 · pith_short_12: AB4UDLTIEDQC · pith_short_16: AB4UDLTIEDQCYDQF · pith_short_8: AB4UDLTI
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/AB4UDLTIEDQCYDQFKSU6SIOX54 \
  | 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: 007941ae6820e02c0e0554a9e921d7ef3e13acc189310d253110a0c83aaf833d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "6ba3d998c064d23f265727f2122edf28364b998104529d3605c31698e931c6c2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2012-06-25T15:05:42Z",
    "title_canon_sha256": "9b75691a6343876ac5e0b38eb6a3af2eaf1d669d01fbb965323cc2b25dd238b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5700",
    "kind": "arxiv",
    "version": 1
  }
}