Pith Number

pith:6AIPJ6KO

pith:2023:6AIPJ6KOGRACQVIFLCJ7N3SI7G

not attested not anchored not stored refs pending

Energy equality for the compressible Primitive Equations with vacuum

Maria Angeles Rodriguez-Bellido, Sarka Necasova, Tong Tang

arxiv:2303.11129 v4 · 2023-03-20 · 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{6AIPJ6KOGRACQVIFLCJ7N3SI7G}

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	2026-07-05T09:55:05.916020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f010f4f94e34402855055893f6ee48f9892bda5386a485456d7b85c66d43447d

Aliases

arxiv: 2303.11129 · arxiv_version: 2303.11129v4 · doi: 10.48550/arxiv.2303.11129 · pith_short_12: 6AIPJ6KOGRAC · pith_short_16: 6AIPJ6KOGRACQVIF · pith_short_8: 6AIPJ6KO

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/6AIPJ6KOGRACQVIFLCJ7N3SI7G \
  | 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: f010f4f94e34402855055893f6ee48f9892bda5386a485456d7b85c66d43447d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d98828caee931c298e709fe6684172e0d1a5379ef4ab1c6c123831e31e61f166",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-03-20T14:06:16Z",
    "title_canon_sha256": "c11135db96d09609247eba3e67b2b7b78221843a09f4794292add4a4c71dc658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2303.11129",
    "kind": "arxiv",
    "version": 4
  }
}