pith. sign in
Pith Number

pith:HBEZTBKT

pith:2017:HBEZTBKTU43IRYFUZINUTNPATJ
not attested not anchored not stored refs pending

Damage-driven fracture with low-order potentials: asymptotic behavior, existence and applications

Marco Caroccia, Nicolas Van Goethem

arxiv:1712.08556 v3 · 2017-12-22 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{HBEZTBKTU43IRYFUZINUTNPATJ}

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 2026-05-18T00:21:45.797939Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3849998553a73688e0b4ca1b49b5e09a6436a30982b582fe23f1ebe162db8998

Aliases

arxiv: 1712.08556 · arxiv_version: 1712.08556v3 · doi: 10.48550/arxiv.1712.08556 · pith_short_12: HBEZTBKTU43I · pith_short_16: HBEZTBKTU43IRYFU · pith_short_8: HBEZTBKT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/HBEZTBKTU43IRYFUZINUTNPATJ \
  | 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: 3849998553a73688e0b4ca1b49b5e09a6436a30982b582fe23f1ebe162db8998
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "cdf7c23a47768b89b62b5309e5f5c2bd720cb9f256eb8bbb6de7c968f1c9601f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-22T16:38:20Z",
    "title_canon_sha256": "e72846170e99e416f75a41298d2ba814cc3a098b2b1e0ff4e2daaafd3e8208db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08556",
    "kind": "arxiv",
    "version": 3
  }
}