Pith Number

pith:D675FA6C

pith:2019:D675FA6CJFMBUTGYXTUBNHYCNJ

not attested not anchored not stored refs pending

A minimum entropy principle in the compressible multicomponent Euler equations

Ayoub Gouasmi, Eitan Tadmor, Karthik Duraisamy, Scott M. Murman

arxiv:1906.08845 v2 · 2019-06-20 · 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{D675FA6CJFMBUTGYXTUBNHYCNJ}

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	2026-07-05T00:06:09.305336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1fbfd283c249581a4cd8bce8169f026a5fc46f22fb4238d7db22fdac21d2321e

Aliases

arxiv: 1906.08845 · arxiv_version: 1906.08845v2 · doi: 10.48550/arxiv.1906.08845 · pith_short_12: D675FA6CJFMB · pith_short_16: D675FA6CJFMBUTGY · pith_short_8: D675FA6C

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/D675FA6CJFMBUTGYXTUBNHYCNJ \
  | 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: 1fbfd283c249581a4cd8bce8169f026a5fc46f22fb4238d7db22fdac21d2321e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a044edab660bcd63a4c0391d85058d940d316c78312e3d6ecbcb350201b3ad4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-20T20:48:13Z",
    "title_canon_sha256": "f68bc107fd76a9a33a0539df97dbf82f0f7c9b36ed13735ed419fa6ab7ef2b0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08845",
    "kind": "arxiv",
    "version": 2
  }
}