Pith Number

pith:AKGZMNOY

pith:2021:AKGZMNOY6LI4MPQPB3JLPXY2LF

not attested not anchored not stored refs pending

Propagation of uniform boundedness of entropy and inhomogeneous regularities for viscous and heat conductive gases with far field vacuum in three dimensions

Jinkai Li, Zhouping Xin

arxiv:2111.14057 v1 · 2021-11-28 · 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{AKGZMNOY6LI4MPQPB3JLPXY2LF}

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	2026-07-05T03:35:38.791061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

028d9635d8f2d1c63e0f0ed2b7df1a594b6f42c98cb1dd32e0ea975c8989dce5

Aliases

arxiv: 2111.14057 · arxiv_version: 2111.14057v1 · doi: 10.48550/arxiv.2111.14057 · pith_short_12: AKGZMNOY6LI4 · pith_short_16: AKGZMNOY6LI4MPQP · pith_short_8: AKGZMNOY

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/AKGZMNOY6LI4MPQPB3JLPXY2LF \
  | 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: 028d9635d8f2d1c63e0f0ed2b7df1a594b6f42c98cb1dd32e0ea975c8989dce5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33119b6f4ef47c9e9e287cd4028f57dd53897ff68c2bb8bdb418e91087923a17",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-28T05:34:39Z",
    "title_canon_sha256": "acc7883a454f9290e75a90685588aaf3e33bc560398ea67401df92f9efcabe01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14057",
    "kind": "arxiv",
    "version": 1
  }
}