Pith Number

pith:WN4T5YDE

pith:2020:WN4T5YDE75BLL6QLCKCUDGMYKH

not attested not anchored not stored refs pending

Entropy-bounded solutions to the one-dimensional heat conductive compressible Navier-Stokes equations with far field vacuum

Jinkai Li, Zhouping Xin

arxiv:2002.03372 v1 · 2020-02-09 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WN4T5YDE75BLL6QLCKCUDGMYKH}

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	2026-07-05T00:39:21.584302Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3793ee064ff42b5fa0b128541999851e921b72a2bc0ae77cb9fd8247cfc43a3

Aliases

arxiv: 2002.03372 · arxiv_version: 2002.03372v1 · doi: 10.48550/arxiv.2002.03372 · pith_short_12: WN4T5YDE75BL · pith_short_16: WN4T5YDE75BLL6QL · pith_short_8: WN4T5YDE

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/WN4T5YDE75BLL6QLCKCUDGMYKH \
  | 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: b3793ee064ff42b5fa0b128541999851e921b72a2bc0ae77cb9fd8247cfc43a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7207ddd49115e0093d054fc87dfe2a6403e41ea368bd1bdcfaca84b208656748",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2020-02-09T14:28:04Z",
    "title_canon_sha256": "2b46b16a709458693bd859368ff8fb0edcb3397054c5196f0148a6591cb6244b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.03372",
    "kind": "arxiv",
    "version": 1
  }
}