Pith Number

pith:BO5BS6OT

pith:2026:BO5BS6OT6WCMLNGC6IA34EEGN4

not attested not anchored not stored refs pending

A dual--continuum phase-field model for hydraulic fracturing: Viscosity-dominated regime and fluid lag

Keita Yoshioka, Tao You

arxiv:2607.03776 v1 · 2026-07-04 · physics.flu-dyn · physics.comp-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BO5BS6OT6WCMLNGC6IA34EEGN4}

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	2026-07-07T02:18:07.057395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bba1979d3f584c5b4c2f201be10866f1886a42212cee343510766a08869e764

Aliases

arxiv: 2607.03776 · arxiv_version: 2607.03776v1 · doi: 10.48550/arxiv.2607.03776 · pith_short_12: BO5BS6OT6WCM · pith_short_16: BO5BS6OT6WCMLNGC · pith_short_8: BO5BS6OT

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/BO5BS6OT6WCMLNGC6IA34EEGN4 \
  | 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: 0bba1979d3f584c5b4c2f201be10866f1886a42212cee343510766a08869e764

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c23fb460d94cca1b1e4c1fc4d1531e091f0120a147fbfe1fa5e8da25d062d901",
    "cross_cats_sorted": [
      "physics.comp-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-04T08:57:34Z",
    "title_canon_sha256": "40c4b467e65d5e4d346c297a832e13ff4343c9e7f7a3e215021648eba2027fd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.03776",
    "kind": "arxiv",
    "version": 1
  }
}