Pith Number

pith:LXDDRDGR

pith:2019:LXDDRDGRF4NCZ6BZNTEOGIILU3

not attested not anchored not stored refs pending

Cross-Diffusion Waves as a Mesoscopic Uncertainty Relationship for Multi-Physics Instabilities

Christoph Schrank, Klaus Regenauer-Lieb, Manman Hu

arxiv:1907.10789 v1 · 2019-07-25 · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LXDDRDGRF4NCZ6BZNTEOGIILU3}

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	2026-05-17T23:39:34.494904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5dc6388cd12f1a2cf8396cc8e3210ba6e07aeccf0e8a9659f7adea3b8ce286f7

Aliases

arxiv: 1907.10789 · arxiv_version: 1907.10789v1 · doi: 10.48550/arxiv.1907.10789 · pith_short_12: LXDDRDGRF4NC · pith_short_16: LXDDRDGRF4NCZ6BZ · pith_short_8: LXDDRDGR

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/LXDDRDGRF4NCZ6BZNTEOGIILU3 \
  | 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: 5dc6388cd12f1a2cf8396cc8e3210ba6e07aeccf0e8a9659f7adea3b8ce286f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b5383760fc14c101b36b0167058481392ab77dd51910736dfc0722bc13f358e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2019-07-25T01:43:54Z",
    "title_canon_sha256": "ae8d114e788990b673b4f061da713888509c7f3d9a3b094816e231db51d5ba0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10789",
    "kind": "arxiv",
    "version": 1
  }
}