Pith Number

pith:MPZNTRG4

pith:2007:MPZNTRG467FPFZ2DOOMQAUWI54

not attested not anchored not stored refs pending

Stability of isentropic viscous shock profiles in the high-Mach number limit

Jeffrey Humpherys, Kevin Zumbrun, Olivier Laffite

arxiv:0705.4244 v1 · 2007-05-29 · 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{MPZNTRG467FPFZ2DOOMQAUWI54}

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	2026-05-18T00:42:49.399357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63f2d9c4dcf7caf2e74373990052c8ef12dc49173120aee829e22f0a5915e056

Aliases

arxiv: 0705.4244 · arxiv_version: 0705.4244v1 · doi: 10.48550/arxiv.0705.4244 · pith_short_12: MPZNTRG467FP · pith_short_16: MPZNTRG467FPFZ2D · pith_short_8: MPZNTRG4

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/MPZNTRG467FPFZ2DOOMQAUWI54 \
  | 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: 63f2d9c4dcf7caf2e74373990052c8ef12dc49173120aee829e22f0a5915e056

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db4e3c684d2820566fe17e23f20ea1bfaa5fcbc7d6237aa263098ae700b0da09",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-05-29T15:58:18Z",
    "title_canon_sha256": "1c70fabb34d165e54cf9628fa7ee418eb9afd6d2eae8e4cfb62084a28a1f23cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.4244",
    "kind": "arxiv",
    "version": 1
  }
}