Pith Number

pith:N56NXFF2

pith:2012:N56NXFF2U3ERTHABBKYEUAKABY

not attested not anchored not stored refs pending

Remarks on application of different variables for the PKN model of hydrofracturing. Various fluid-flow regimes

G. Mishuris, M. Wrobel, P. Kusmierczyk

arxiv:1211.6474 v3 · 2012-11-27 · physics.geo-ph · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N56NXFF2U3ERTHABBKYEUAKABY}

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	2026-05-18T03:17:57.019060Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f7cdb94baa6c9199c010ab04a01400e1fc06bdb79da9da69bbc879a4b1bb91e

Aliases

arxiv: 1211.6474 · arxiv_version: 1211.6474v3 · doi: 10.48550/arxiv.1211.6474 · pith_short_12: N56NXFF2U3ER · pith_short_16: N56NXFF2U3ERTHAB · pith_short_8: N56NXFF2

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/N56NXFF2U3ERTHABBKYEUAKABY \
  | 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: 6f7cdb94baa6c9199c010ab04a01400e1fc06bdb79da9da69bbc879a4b1bb91e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3986cdfdefd39290ac8dd3e4b2c2e411e777548fcda7f93a636960630d6f67f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.geo-ph",
    "submitted_at": "2012-11-27T23:09:34Z",
    "title_canon_sha256": "76355f227b69eec0f623a4d8ff1eaec0f236c25142aaed9e650ee3580c241cd0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6474",
    "kind": "arxiv",
    "version": 3
  }
}