Pith Number

pith:WTIVUAZX

pith:2018:WTIVUAZXR36YRM45PGFNZ4MOUN

not attested not anchored not stored refs pending

Application of the Fast Multipole Fully Coupled Poroelastic Displacement Discontinuity Method to Hydraulic Fracturing Problems

Ali Rezaei, Fahd Siddiqui, Giorgio Bornia, Mohamed Y. Soliman

arxiv:1812.05087 v2 · 2018-12-12 · math.NA · cs.CE · cs.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{WTIVUAZXR36YRM45PGFNZ4MOUN}

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	2026-06-04T20:13:47.523448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d15a03378efd88b39d798adcf18ea35afa488c92ae90f5fd99dfbe9d43c3c1

Aliases

arxiv: 1812.05087 · arxiv_version: 1812.05087v2 · doi: 10.48550/arxiv.1812.05087 · pith_short_12: WTIVUAZXR36Y · pith_short_16: WTIVUAZXR36YRM45 · pith_short_8: WTIVUAZX

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/WTIVUAZXR36YRM45PGFNZ4MOUN \
  | 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: b4d15a03378efd88b39d798adcf18ea35afa488c92ae90f5fd99dfbe9d43c3c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bad6ac6f5170c69c44fa257972ff14b6a5b01e1f08a07641b0e4bc6173241591",
    "cross_cats_sorted": [
      "cs.CE",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2018-12-12T18:51:23Z",
    "title_canon_sha256": "7e84ab02ef1ccb4e876d37622dd8ecda7eb2ff2209dc9622c24918060233dd35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.05087",
    "kind": "arxiv",
    "version": 2
  }
}