Pith Number

pith:GCQ4DO3U

pith:2017:GCQ4DO3UO5CDOCP6H5UYY57WC5

not attested not anchored not stored refs pending

Onsager's energy conservation for inhomogeneous Euler equations

Cheng Yu, Robin Ming Chen

arxiv:1706.08506 v2 · 2017-06-26 · 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{GCQ4DO3UO5CDOCP6H5UYY57WC5}

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	2026-05-18T00:03:37.314270Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

30a1c1bb7477443709fe3f698c77f6177e8c2c8e98ea666f087ea6c0edfc14f1

Aliases

arxiv: 1706.08506 · arxiv_version: 1706.08506v2 · doi: 10.48550/arxiv.1706.08506 · pith_short_12: GCQ4DO3UO5CD · pith_short_16: GCQ4DO3UO5CDOCP6 · pith_short_8: GCQ4DO3U

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/GCQ4DO3UO5CDOCP6H5UYY57WC5 \
  | 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: 30a1c1bb7477443709fe3f698c77f6177e8c2c8e98ea666f087ea6c0edfc14f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3656f4d004fa5117cf80346175d02b18df7957d6efb7dac03aeab29304d2abf9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-26T17:53:45Z",
    "title_canon_sha256": "50b9eafb54e9801db0b58fb0b01d86c53643baad2f129e826ba875f940f7c8c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08506",
    "kind": "arxiv",
    "version": 2
  }
}