pith. sign in
Pith Number

pith:FMDWW3IN

pith:2013:FMDWW3INTLIWCAQ7UF7VFSPRKT
not attested not anchored not stored refs pending

Spreading of ultrarelativistically expanding shell: an application to GRBs

G. V. Vereshchagin, I. A. Siutsou, R. Ruffini

arxiv:1309.3857 v1 · 2013-09-16 · astro-ph.HE

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{FMDWW3INTLIWCAQ7UF7VFSPRKT}

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 2026-05-18T03:13:12.150344Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

2b076b6d0d9ad161021fa17f52c9f154fc9c15dd91239ea5926d4cdd85d65cb8

Aliases

arxiv: 1309.3857 · arxiv_version: 1309.3857v1 · doi: 10.48550/arxiv.1309.3857 · pith_short_12: FMDWW3INTLIW · pith_short_16: FMDWW3INTLIWCAQ7 · pith_short_8: FMDWW3IN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/FMDWW3INTLIWCAQ7UF7VFSPRKT \
  | 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: 2b076b6d0d9ad161021fa17f52c9f154fc9c15dd91239ea5926d4cdd85d65cb8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a8872d90a698978aca0bd785d42482122acc06202a26cb77426d6e11a98908bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.HE",
    "submitted_at": "2013-09-16T08:49:21Z",
    "title_canon_sha256": "be581d34708e580c534ddc07ec62abd3a787353baed27576c3a643426a18130b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3857",
    "kind": "arxiv",
    "version": 1
  }
}