Pith Number

pith:F4SXQOC3

pith:2018:F4SXQOC3DHGUY7ZAE7QUP3RMZC

not attested not anchored not stored refs pending

Free boundary value problem to 3D spherically symmetric compressible Navier-Stokes-Poisson equations

Hai-Liang Li, Huihui Kong

arxiv:1806.08889 v1 · 2018-06-23 · 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{F4SXQOC3DHGUY7ZAE7QUP3RMZC}

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	2026-05-18T00:12:31.009544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f2578385b19cd4c7f2027e147ee2cc88920d82b9511fee410f2b3a1c4379ddd

Aliases

arxiv: 1806.08889 · arxiv_version: 1806.08889v1 · doi: 10.48550/arxiv.1806.08889 · pith_short_12: F4SXQOC3DHGU · pith_short_16: F4SXQOC3DHGUY7ZA · pith_short_8: F4SXQOC3

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/F4SXQOC3DHGUY7ZAE7QUP3RMZC \
  | 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: 2f2578385b19cd4c7f2027e147ee2cc88920d82b9511fee410f2b3a1c4379ddd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f2d3c6b7cea59a4160d18b4819be401a4ed0ef65877ff87158d5f60ee209f02",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-23T01:59:38Z",
    "title_canon_sha256": "aee068a80692e4dd6ccc3678b6f7512fec3aaa367bfef75f5124be15c50190c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.08889",
    "kind": "arxiv",
    "version": 1
  }
}