Pith Number

pith:CTB6PV5C

pith:2014:CTB6PV5C32SKU4XUTFOZUS7XWQ

not attested not anchored not stored refs pending

Spherical top-hat Collapse of a Viscous Unified Dark Fluid

Lixin Xu, Wei Li

arxiv:1401.1270 v6 · 2014-01-07 · astro-ph.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CTB6PV5C32SKU4XUTFOZUS7XWQ}

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	2026-05-18T02:52:23.281097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14c3e7d7a2dea4aa72f4995d9a4bf7b4039e813d1d4107ed66a53a6034ea197c

Aliases

arxiv: 1401.1270 · arxiv_version: 1401.1270v6 · doi: 10.48550/arxiv.1401.1270 · pith_short_12: CTB6PV5C32SK · pith_short_16: CTB6PV5C32SKU4XU · pith_short_8: CTB6PV5C

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/CTB6PV5C32SKU4XUTFOZUS7XWQ \
  | 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: 14c3e7d7a2dea4aa72f4995d9a4bf7b4039e813d1d4107ed66a53a6034ea197c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4dc8a37df429d6b6f5deb9ba872fd076a7bde393f44760599680e8561199ad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-01-07T04:48:24Z",
    "title_canon_sha256": "4c835dd703951e9322b88a0c36c477079f1851d6d3cb83684d32390b023da7cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1270",
    "kind": "arxiv",
    "version": 6
  }
}