Pith Number

pith:LHKCTHJT

pith:2026:LHKCTHJTIYLPNX2XPNQ32DI3CB

not attested not anchored not stored refs pending

A hybrid IFENN solver for generalizable modeling of phase-field fracture initiation and propagation

Diab Abueidda, Fouad Amin, Mostafa E. Mobasher, Panos Pantidis

arxiv:2606.27177 v1 · 2026-06-25 · cs.CE

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LHKCTHJTIYLPNX2XPNQ32DI3CB}

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	2026-06-26T01:16:12.640522Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

59d4299d334616f6df577b61bd0d1b1054910ed806797da4a4bbdfb4cbbb5bf8

Aliases

arxiv: 2606.27177 · arxiv_version: 2606.27177v1 · doi: 10.48550/arxiv.2606.27177 · pith_short_12: LHKCTHJTIYLP · pith_short_16: LHKCTHJTIYLPNX2X · pith_short_8: LHKCTHJT

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/LHKCTHJTIYLPNX2XPNQ32DI3CB \
  | 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: 59d4299d334616f6df577b61bd0d1b1054910ed806797da4a4bbdfb4cbbb5bf8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c3e76aa87a60a51ebed526d32abb128820101b8147ecd6820d92d030ad6a553",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.CE",
    "submitted_at": "2026-06-25T15:43:19Z",
    "title_canon_sha256": "549c86c940bd75c0b426dfdd486693ed3f79fcc6a0e32367779032820c6a3324"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.27177",
    "kind": "arxiv",
    "version": 1
  }
}