Pith Number

pith:FH33UMGJ

pith:2008:FH33UMGJ4T3LWAUXM7U6Z573FK

not attested not anchored not stored refs pending

On the shock wave spectrum for isentropic gas dynamics with capillarity

Jeffrey Humpherys

arxiv:0806.2411 v1 · 2008-06-15 · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FH33UMGJ4T3LWAUXM7U6Z573FK}

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	2026-05-18T00:42:49.344721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29f7ba30c9e4f6bb029767e9ecf7fb2a9d543d99ba92168da69489d76fc66ddb

Aliases

arxiv: 0806.2411 · arxiv_version: 0806.2411v1 · doi: 10.48550/arxiv.0806.2411 · pith_short_12: FH33UMGJ4T3L · pith_short_16: FH33UMGJ4T3LWAUX · pith_short_8: FH33UMGJ

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/FH33UMGJ4T3LWAUXM7U6Z573FK \
  | 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: 29f7ba30c9e4f6bb029767e9ecf7fb2a9d543d99ba92168da69489d76fc66ddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b2cc8f528fcf31590f0c3a3a1b0f41f2c04ba6dc090fa6fb06c7d7ab85de77d6",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2008-06-15T02:26:36Z",
    "title_canon_sha256": "1965889f6b60df3e14766388c32af9364252ff6e8d61d54daccfb03ae17821da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.2411",
    "kind": "arxiv",
    "version": 1
  }
}