pith. sign in
Pith Number

pith:5FHDBMZ5

pith:2018:5FHDBMZ5HBGTCHYR3BHYLOEBQL
not attested not anchored not stored refs pending

Checking real analyticity on surfaces

Jacek Bochnak, J\'anos Koll\'ar, Wojciech Kucharz

arxiv:1812.00806 v1 · 2018-12-03 · math.CA · math.AG · math.DG

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{5FHDBMZ5HBGTCHYR3BHYLOEBQL}

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 2026-05-17T23:59:18.937969Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e94e30b33d384d311f11d84f85b88182ce4f60d13cd02a02407cfdf91c400b3a

Aliases

arxiv: 1812.00806 · arxiv_version: 1812.00806v1 · doi: 10.48550/arxiv.1812.00806 · pith_short_12: 5FHDBMZ5HBGT · pith_short_16: 5FHDBMZ5HBGTCHYR · pith_short_8: 5FHDBMZ5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/5FHDBMZ5HBGTCHYR3BHYLOEBQL \
  | 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: e94e30b33d384d311f11d84f85b88182ce4f60d13cd02a02407cfdf91c400b3a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e4d44c31d41b27bca54317b9be8aac9b7135e9d021611cafd0ef2e26cd557c35",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-12-03T14:58:27Z",
    "title_canon_sha256": "ae3303fe6e604dd1bb216dac965aa15e76e173742c1f5944ac748f064c274792"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.00806",
    "kind": "arxiv",
    "version": 1
  }
}