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Pith Number

pith:GJQLCX25

pith:2011:GJQLCX25PGLOK3PVCWAA2R6RCZ
not attested not anchored not stored refs pending

Linear free flexural vibration of cracked functionally graded plates in thermal environment

M Ganapathi, P Kerfriden, PM Baiz, S Bordas, S Natarajan

arxiv:1107.4006 v1 · 2011-07-20 · math.NA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{GJQLCX25PGLOK3PVCWAA2R6RCZ}

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 2026-05-18T04:17:14.237867Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3260b15f5d7996e56df515800d47d1167eab180c2c68e435722aa741dca8acad

Aliases

arxiv: 1107.4006 · arxiv_version: 1107.4006v1 · doi: 10.48550/arxiv.1107.4006 · pith_short_12: GJQLCX25PGLO · pith_short_16: GJQLCX25PGLOK3PV · pith_short_8: GJQLCX25
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/GJQLCX25PGLOK3PVCWAA2R6RCZ \
  | 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: 3260b15f5d7996e56df515800d47d1167eab180c2c68e435722aa741dca8acad
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1592db64df01721d7697e6e56039e8eeaf6020ceb527df026e2fe99e6a5cee31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2011-07-20T15:37:20Z",
    "title_canon_sha256": "f68bf602b5c7b371c7d8c116d1f48304f74ee2bce212c138d3dc9d0bcead21fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.4006",
    "kind": "arxiv",
    "version": 1
  }
}