Pith Number

pith:M2KSWSGL

pith:2012:M2KSWSGLFNMS5LQUYRL35PULVK

not attested not anchored not stored refs pending

On modeling hydraulic fracture in proper variables: stiffness, accuracy, sensitivity

Alexander Linkov, Gennady Mishuris, Michal Wrobel

arxiv:1203.5691 v1 · 2012-03-26 · physics.geo-ph · math.AP · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M2KSWSGLFNMS5LQUYRL35PULVK}

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	2026-05-18T03:59:14.424908Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66952b48cb2b592eae14c457bebe8baa9fc9830223a8006ced56581c9d9c6f3f

Aliases

arxiv: 1203.5691 · arxiv_version: 1203.5691v1 · doi: 10.48550/arxiv.1203.5691 · pith_short_12: M2KSWSGLFNMS · pith_short_16: M2KSWSGLFNMS5LQU · pith_short_8: M2KSWSGL

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/M2KSWSGLFNMS5LQUYRL35PULVK \
  | 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: 66952b48cb2b592eae14c457bebe8baa9fc9830223a8006ced56581c9d9c6f3f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5f939b415dd3386b4b64ee9df89c354cbd4ea59e8921d8a7054fe14a6d95d6f",
    "cross_cats_sorted": [
      "math.AP",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2012-03-26T14:54:03Z",
    "title_canon_sha256": "c7540f9f9ee2b1205f9dab424e0d9cddb26930ad2ef55042c16ed73cd359493c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5691",
    "kind": "arxiv",
    "version": 1
  }
}