pith. sign in
Pith Number

pith:XVV7NDUA

pith:2015:XVV7NDUALCOIKKJEJOVXPDW7EJ
not attested not anchored not stored refs pending

Complex singularities and PDEs

F. Gargano, M. Sammartino, R.E.Caflisch, V. Sciacca

arxiv:1512.02107 v1 · 2015-11-25 · physics.flu-dyn · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XVV7NDUALCOIKKJEJOVXPDW7EJ}

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 2026-05-18T01:25:09.596667Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bd6bf68e80589c8529244bab778edf2258e264672d9c6bcdfcb143e1d4352a4d

Aliases

arxiv: 1512.02107 · arxiv_version: 1512.02107v1 · doi: 10.48550/arxiv.1512.02107 · pith_short_12: XVV7NDUALCOI · pith_short_16: XVV7NDUALCOIKKJE · pith_short_8: XVV7NDUA
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XVV7NDUALCOIKKJEJOVXPDW7EJ \
  | 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: bd6bf68e80589c8529244bab778edf2258e264672d9c6bcdfcb143e1d4352a4d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "21a8d93479ed6206d29c1d4b76d2ead4bfd6da41e5569702b418afd8f37bdd40",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-11-25T15:51:23Z",
    "title_canon_sha256": "02b1f67597a24419840f6aa0f16adcb9232d9b5fe1cdb7f7c42cd54fae980f67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02107",
    "kind": "arxiv",
    "version": 1
  }
}