Pith Number

pith:44C6I7PI

pith:2011:44C6I7PIFEUNMQYZW7O4VZYZVR

not attested not anchored not stored refs pending

Expected Euler characteristic of excursion sets of random holomorphic sections on complex manifolds

Jingzhou Sun

arxiv:1103.4598 v1 · 2011-03-23 · math.CV · math.AG · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{44C6I7PIFEUNMQYZW7O4VZYZVR}

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	2026-05-18T04:26:01.741115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e705e47de82928d64319b7ddcae719ac481063b35a805761b0f93ac7c62348e6

Aliases

arxiv: 1103.4598 · arxiv_version: 1103.4598v1 · doi: 10.48550/arxiv.1103.4598 · pith_short_12: 44C6I7PIFEUN · pith_short_16: 44C6I7PIFEUNMQYZ · pith_short_8: 44C6I7PI

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/44C6I7PIFEUNMQYZW7O4VZYZVR \
  | 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: e705e47de82928d64319b7ddcae719ac481063b35a805761b0f93ac7c62348e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "424c59e8e03d5b3fc38c297e8564ab2151544f155b2d3ff04a5cae077a5efb9e",
    "cross_cats_sorted": [
      "math.AG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2011-03-23T19:06:55Z",
    "title_canon_sha256": "3245494d454bfdf6e8ab375644262643f286b987d15039c5eaaf4ee0e06c4b7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4598",
    "kind": "arxiv",
    "version": 1
  }
}