Pith Number

pith:4STYXWAM

pith:2014:4STYXWAM3IJRGGCB4NDW4AAWSI

not attested not anchored not stored refs pending

Spherical Collapse for Viscous Generalized Chaplygin Gas Model

Lixin Xu, Wei Li

arxiv:1404.1855 v7 · 2014-04-03 · 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{4STYXWAM3IJRGGCB4NDW4AAWSI}

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	2026-05-18T02:47:22.892708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a78bd80cda13131841e3476e001692138997da73c3ce0eca2022ec73e338c5

Aliases

arxiv: 1404.1855 · arxiv_version: 1404.1855v7 · doi: 10.48550/arxiv.1404.1855 · pith_short_12: 4STYXWAM3IJR · pith_short_16: 4STYXWAM3IJRGGCB · pith_short_8: 4STYXWAM

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/4STYXWAM3IJRGGCB4NDW4AAWSI \
  | 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: e4a78bd80cda13131841e3476e001692138997da73c3ce0eca2022ec73e338c5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "127f9e8d6f3753f8e9ebb840b90e171dc8060c468b2f9819e934c53a460c9dee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2014-04-03T05:17:25Z",
    "title_canon_sha256": "ad1948abcb73fb32d0dd1c9606e7c79dc0777a716e8028519b8ba090c6357b30"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1855",
    "kind": "arxiv",
    "version": 7
  }
}