Pith Number

pith:OO3FA5IU

pith:2005:OO3FA5IUSWW5VA7RQDIZJPMCAW

not attested not anchored not stored refs pending

Critical Collapse of an Ultrarelativistic Fluid in the $\Gamma\to 1$ Limit

Martin Snajdr

arxiv:gr-qc/0508062 v2 · 2005-08-16 · gr-qc

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OO3FA5IUSWW5VA7RQDIZJPMCAW}

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.

Cited by

1 paper in Pith

Primordial black holes through preheating instabilities in $\alpha$-attractor models

Receipt and verification

First computed	2026-07-04T16:55:17.166967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

73b650751495adda83f180d194bd8205b3466615ebbd3b7a0fec0987efd3a87d

Aliases

arxiv: gr-qc/0508062 · arxiv_version: gr-qc/0508062v2 · doi: 10.48550/arxiv.gr-qc/0508062 · pith_short_12: OO3FA5IUSWW5 · pith_short_16: OO3FA5IUSWW5VA7R · pith_short_8: OO3FA5IU

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/OO3FA5IUSWW5VA7RQDIZJPMCAW \
  | 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: 73b650751495adda83f180d194bd8205b3466615ebbd3b7a0fec0987efd3a87d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1ad4a17e8cdc03af183b55d5da70c88d32609e71676d0fa26f64f5e141446c3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "gr-qc",
    "submitted_at": "2005-08-16T05:30:39Z",
    "title_canon_sha256": "648afd2a415926f35bed25e2a7c4093699097178ba9c19e7c795239ac1dd4e29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "gr-qc/0508062",
    "kind": "arxiv",
    "version": 2
  }
}