Pith Number

pith:BBBJ3UXV

pith:2019:BBBJ3UXV6FOYEHJBCEVTMHD3D7

not attested not anchored not stored refs pending

Entropy Hierarchies for equations of compressible fluids and self-organized dynamics

Peter Constantin, Roman Shvydkoy, Theodore D. Drivas

arxiv:1908.01784 v1 · 2019-08-05 · math.AP · math-ph · math.MP · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BBBJ3UXV6FOYEHJBCEVTMHD3D7}

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	2026-07-04T23:51:47.486425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08429dd2f5f15d821d21112b361c7b1fdd7b1073cd28ccb6ccd244cb4816d55b

Aliases

arxiv: 1908.01784 · arxiv_version: 1908.01784v1 · doi: 10.48550/arxiv.1908.01784 · pith_short_12: BBBJ3UXV6FOY · pith_short_16: BBBJ3UXV6FOYEHJB · pith_short_8: BBBJ3UXV

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/BBBJ3UXV6FOYEHJBCEVTMHD3D7 \
  | 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: 08429dd2f5f15d821d21112b361c7b1fdd7b1073cd28ccb6ccd244cb4816d55b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf9533cc8c175c5da83982b28de885e5611fb8141bb2af2b9e8e2b0708cb5336",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-08-05T18:01:07Z",
    "title_canon_sha256": "17a43827058a57476f3741c5c5065c3c1b5be6dff72aa1716a02856c2f3f6edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01784",
    "kind": "arxiv",
    "version": 1
  }
}