Pith Number

pith:LSRZ3FDA

pith:2011:LSRZ3FDAJ4J2PQPFWPB57SDC46

not attested not anchored not stored refs pending

Green's function and large time behavior of the Navier-Stokes-Maxwell system

Renjun Duan

arxiv:1107.1922 v1 · 2011-07-11 · 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{LSRZ3FDAJ4J2PQPFWPB57SDC46}

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	2026-05-18T04:18:33.877191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ca39d94604f13a7c1e5b3c3dfc862e78aa80ed3e6f9f9f6ce7265604c15e524

Aliases

arxiv: 1107.1922 · arxiv_version: 1107.1922v1 · doi: 10.48550/arxiv.1107.1922 · pith_short_12: LSRZ3FDAJ4J2 · pith_short_16: LSRZ3FDAJ4J2PQPF · pith_short_8: LSRZ3FDA

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/LSRZ3FDAJ4J2PQPFWPB57SDC46 \
  | 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: 5ca39d94604f13a7c1e5b3c3dfc862e78aa80ed3e6f9f9f6ce7265604c15e524

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa9cbdc652d653d12ba61b685956df17034de8cb584456889adb0917e98ed5bf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-07-11T02:06:38Z",
    "title_canon_sha256": "6f4bb146ea0d1a157eddf2761e797ce52c3de581993bb81d32bfbcd7896edfd7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1922",
    "kind": "arxiv",
    "version": 1
  }
}