Pith Number

pith:ZG7JUXUW

pith:2009:ZG7JUXUWCJZXCFMI2T25FAQTHX

not attested not anchored not stored refs pending

The refined inviscid stability condition and cellular instability of viscous shock waves

Kevin Zumbrun

arxiv:0905.2619 v1 · 2009-05-15 · 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{ZG7JUXUWCJZXCFMI2T25FAQTHX}

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	2026-05-18T02:13:39.156427Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c9be9a5e961273711588d4f5d282133deafbad980ad49bc1681e79a4b996c4e8

Aliases

arxiv: 0905.2619 · arxiv_version: 0905.2619v1 · doi: 10.48550/arxiv.0905.2619 · pith_short_12: ZG7JUXUWCJZX · pith_short_16: ZG7JUXUWCJZXCFMI · pith_short_8: ZG7JUXUW

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/ZG7JUXUWCJZXCFMI2T25FAQTHX \
  | 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: c9be9a5e961273711588d4f5d282133deafbad980ad49bc1681e79a4b996c4e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db66fd8436cedc90684bc61671bf39a5573a3593727fcd36cc5693d95c9e44e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2009-05-15T20:53:19Z",
    "title_canon_sha256": "84b5f1e2157a02154808910eb3fda007b90e4353cd9936b7cae497b055d2fa68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2619",
    "kind": "arxiv",
    "version": 1
  }
}