Pith Number

pith:KK2UKMP6

pith:2010:KK2UKMP6ADB6EYILFEL7VO5LN3

not attested not anchored not stored refs pending

Existence of solutions for a higher order non-local equation appearing in crack dynamics

Antoine Mellet, Cyril Imbert (CEREMADE)

arxiv:1001.5105 v2 · 2010-01-28 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KK2UKMP6ADB6EYILFEL7VO5LN3}

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	2026-05-18T02:09:28.951426Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52b54531fe00c3e2610b2917fabbab6ef84882756577b7caf362897317e54b79

Aliases

arxiv: 1001.5105 · arxiv_version: 1001.5105v2 · doi: 10.48550/arxiv.1001.5105 · pith_short_12: KK2UKMP6ADB6 · pith_short_16: KK2UKMP6ADB6EYIL · pith_short_8: KK2UKMP6

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/KK2UKMP6ADB6EYILFEL7VO5LN3 \
  | 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: 52b54531fe00c3e2610b2917fabbab6ef84882756577b7caf362897317e54b79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "feaec2855b09b8bff1c1ec5c56c1baf505da453830aaf5750bffcaedbed9b11d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-01-28T05:29:46Z",
    "title_canon_sha256": "045ae7758cbb131c29a6b8331a0a37f2267d05809213d0e6aded211799a82f94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5105",
    "kind": "arxiv",
    "version": 2
  }
}