Pith Number

pith:C26CYFXZ

pith:2018:C26CYFXZ5KGUXU6MGZRO3TXFNG

not attested not anchored not stored refs pending

Global weak solutions to compressible Navier-Stokes-Vlasov-Boltzmann systems for spray dynamics

Cheng Yu, Irene M. Gamba

arxiv:1806.04567 v1 · 2018-06-12 · 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{C26CYFXZ5KGUXU6MGZRO3TXFNG}

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	2026-05-18T00:13:33.391478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16bc2c16f9ea8d4bd3cc3662edcee569af5b551c6537d82e7b66ea58c81ad9b5

Aliases

arxiv: 1806.04567 · arxiv_version: 1806.04567v1 · doi: 10.48550/arxiv.1806.04567 · pith_short_12: C26CYFXZ5KGU · pith_short_16: C26CYFXZ5KGUXU6M · pith_short_8: C26CYFXZ

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/C26CYFXZ5KGUXU6MGZRO3TXFNG \
  | 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: 16bc2c16f9ea8d4bd3cc3662edcee569af5b551c6537d82e7b66ea58c81ad9b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc37d64c4b863efa774e53ddcc0350f2e2904fc4944f016c83eb043ef0cb46c1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-12T14:46:18Z",
    "title_canon_sha256": "9eba11bc113c7b6df8219e26be215f170e36d8c7f19a2222471a854490b918f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.04567",
    "kind": "arxiv",
    "version": 1
  }
}