Pith Number

pith:G4XHRXKS

pith:2015:G4XHRXKS4KTEW4COPJRKAET4YN

not attested not anchored not stored refs pending

Note on the stability of viscous roll-waves

Blake Barker, Kevin Zumbrun, L. Miguel Rodrigues, Mathew A. Johnson, Pascal Noble

arxiv:1510.01168 v2 · 2015-10-05 · physics.flu-dyn · 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{G4XHRXKS4KTEW4COPJRKAET4YN}

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	2026-05-18T01:12:49.617007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

372e78dd52e2a64b704e7a62a0127cc369c118110d6503bd8c7e595e5eee0974

Aliases

arxiv: 1510.01168 · arxiv_version: 1510.01168v2 · doi: 10.48550/arxiv.1510.01168 · pith_short_12: G4XHRXKS4KTE · pith_short_16: G4XHRXKS4KTEW4CO · pith_short_8: G4XHRXKS

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/G4XHRXKS4KTEW4COPJRKAET4YN \
  | 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: 372e78dd52e2a64b704e7a62a0127cc369c118110d6503bd8c7e595e5eee0974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a60a69eb38b4b5a9effb4f3461da90abb56822aba7af6c736cb5ea492a6d464",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-10-05T14:37:10Z",
    "title_canon_sha256": "fc1bc0ba091df848a7fbf49910270d6f79749be5169aeb10bd7ac0be4902bbbd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01168",
    "kind": "arxiv",
    "version": 2
  }
}