Pith Number

pith:OMJHDTKL

pith:2026:OMJHDTKLR4ZXWIM2ZDMMHKTKW6

not attested not anchored not stored refs pending

Co-moving volumes and the Reynolds transport theorem for two-phase flows

Dieter Bothe, Matthias K\"ohne

arxiv:2603.03562 v2 · 2026-03-03 · 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{OMJHDTKLR4ZXWIM2ZDMMHKTKW6}

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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.

Cited by

1 paper in Pith

Co-moving volumes and Reynolds transport theorem in DiPerna-Lions theory

Receipt and verification

First computed	2026-06-30T01:17:35.306090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

731271cd4b8f337b219ac8d8c3aa6ab78d2650cda7904b7cb6efcb2d7d91aee5

Aliases

arxiv: 2603.03562 · arxiv_version: 2603.03562v2 · doi: 10.48550/arxiv.2603.03562 · pith_short_12: OMJHDTKLR4ZX · pith_short_16: OMJHDTKLR4ZXWIM2 · pith_short_8: OMJHDTKL

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/OMJHDTKLR4ZXWIM2ZDMMHKTKW6 \
  | 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: 731271cd4b8f337b219ac8d8c3aa6ab78d2650cda7904b7cb6efcb2d7d91aee5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9a4bb42976291ad4a69beda601997efb3e6532e3989ac161a29132673f97e05",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-03-03T22:41:03Z",
    "title_canon_sha256": "4a175f2c5bc609554049d7213e89b3d1b08a87fa88fe8ed95f45d0ea24f68f7f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.03562",
    "kind": "arxiv",
    "version": 2
  }
}