Pith Number

pith:ENQXUK25

pith:2010:ENQXUK25ICXZLKM47STAKZAIYG

not attested not anchored not stored refs pending

A Symplecticity-preserving Gas-kinetic Scheme for Hydrodynamic Equations under Gravitational Field

Jun Luo, Kun Xu, Na Liu

arxiv:1012.3369 v1 · 2010-12-15 · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENQXUK25ICXZLKM47STAKZAIYG}

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	2026-05-18T04:33:17.001336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23617a2b5d40af95a99cfca6056408c19f6da7944982330b8cbdd5d4e3f5fd46

Aliases

arxiv: 1012.3369 · arxiv_version: 1012.3369v1 · doi: 10.48550/arxiv.1012.3369 · pith_short_12: ENQXUK25ICXZ · pith_short_16: ENQXUK25ICXZLKM4 · pith_short_8: ENQXUK25

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/ENQXUK25ICXZLKM47STAKZAIYG \
  | 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: 23617a2b5d40af95a99cfca6056408c19f6da7944982330b8cbdd5d4e3f5fd46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e760945b214d3d5d5396756524d747c82f03e7456b617bdf159d3ee599cb459",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2010-12-15T15:56:40Z",
    "title_canon_sha256": "b25cfde021547e8d1dd7dba0bff3720244f81f6604b0b14c0c3e9c3a92e171fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3369",
    "kind": "arxiv",
    "version": 1
  }
}