Pith Number

pith:OE55YHXZ

pith:2024:OE55YHXZRJPEYNXUIKMRBZORFG

not attested not anchored not stored refs pending

A Note on Hyperbolic Relaxation of the Navier-Stokes-Cahn-Hilliard system for incompressible two-phase flow

Christian Rohde, Hasel-Cicek Konan, Jens Keim

arxiv:2412.11904 v2 · 2024-12-16 · math.AP · physics.comp-ph · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OE55YHXZRJPEYNXUIKMRBZORFG}

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	2026-07-05T09:50:37.258441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

713bdc1ef98a5e4c36f4429910e5d12987ea7e78e60eb9c40e91afb3e8a9973d

Aliases

arxiv: 2412.11904 · arxiv_version: 2412.11904v2 · doi: 10.48550/arxiv.2412.11904 · pith_short_12: OE55YHXZRJPE · pith_short_16: OE55YHXZRJPEYNXU · pith_short_8: OE55YHXZ

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/OE55YHXZRJPEYNXUIKMRBZORFG \
  | 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: 713bdc1ef98a5e4c36f4429910e5d12987ea7e78e60eb9c40e91afb3e8a9973d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca653f3bd62f35ac58bcd7890fbf6e66236b039be2fb48f4c3a773ed659a9e8b",
    "cross_cats_sorted": [
      "physics.comp-ph",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-16T15:50:06Z",
    "title_canon_sha256": "5ab537f193a8ca43cdaa1f7a5446046c53c21f86e6bd523cd306ed4b18125c2d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11904",
    "kind": "arxiv",
    "version": 2
  }
}