Pith Number

pith:3ZUJJJIX

pith:2015:3ZUJJJIXWFJ7C2PZ44E2GXC2FB

not attested not anchored not stored refs pending

The global nonlinear stability of self-gravitating irrotational Chaplygin fluids in a FRW geometry

Changhua Wei, Philippe G. LeFloch

arxiv:1512.03754 v1 · 2015-12-11 · gr-qc · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZUJJJIXWFJ7C2PZ44E2GXC2FB}

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	2026-05-18T01:24:31.425419Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de6894a517b153f169f9e709a35c5a28772a937cb5416cbc7e69fbfb6e197c91

Aliases

arxiv: 1512.03754 · arxiv_version: 1512.03754v1 · doi: 10.48550/arxiv.1512.03754 · pith_short_12: 3ZUJJJIXWFJ7 · pith_short_16: 3ZUJJJIXWFJ7C2PZ · pith_short_8: 3ZUJJJIX

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/3ZUJJJIXWFJ7C2PZ44E2GXC2FB \
  | 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: de6894a517b153f169f9e709a35c5a28772a937cb5416cbc7e69fbfb6e197c91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b57a1a90e0ea5a3c6c169297a3871281a63cced5226eaea47359d54fbbde29af",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2015-12-11T18:47:01Z",
    "title_canon_sha256": "794e1032b148150c45c0ecbcaea762ecb8480e79ba39f96f113592bed8697662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03754",
    "kind": "arxiv",
    "version": 1
  }
}