Pith Number

pith:3PRROE2W

pith:2015:3PRROE2WQ5TL3X35TULLHG5DPO

not attested not anchored not stored refs pending

Large time behavior for the non-isentropic Navier-Stokes-Maxwell system

Qingqing liu, Yifan Su

arxiv:1512.01788 v2 · 2015-12-06 · 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{3PRROE2WQ5TL3X35TULLHG5DPO}

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	2026-05-18T01:23:44.079058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbe31713568766bddf7d9d16b39ba37bbf08b44063fe2c88c73817fc233a7b4d

Aliases

arxiv: 1512.01788 · arxiv_version: 1512.01788v2 · doi: 10.48550/arxiv.1512.01788 · pith_short_12: 3PRROE2WQ5TL · pith_short_16: 3PRROE2WQ5TL3X35 · pith_short_8: 3PRROE2W

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/3PRROE2WQ5TL3X35TULLHG5DPO \
  | 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: dbe31713568766bddf7d9d16b39ba37bbf08b44063fe2c88c73817fc233a7b4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a96645cd4fdfad929dd8f3a4cc90a8bf93d45741c2efa9773134b1ad98c9a71",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-06T13:10:25Z",
    "title_canon_sha256": "eebae9b05ce45fd92671604c6e3d35717711b123bdd07072b57ac8db8a1180b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01788",
    "kind": "arxiv",
    "version": 2
  }
}