Pith Number

pith:EE4HBXYF

pith:2007:EE4HBXYFATJ7OTGNIG3R44W3ZL

not attested not anchored not stored refs pending

Counting Nodal Lines Which Touch the Boundary of an Analytic Domain

John A. Toth, Steve Zelditch

arxiv:0710.0101 v4 · 2007-09-30 · math.SP · 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{EE4HBXYFATJ7OTGNIG3R44W3ZL}

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	2026-05-18T03:35:54.765091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

213870df0504d3f74ccd41b71e72dbcae7fda03937789989b56ca0f2bd4ceaab

Aliases

arxiv: 0710.0101 · arxiv_version: 0710.0101v4 · doi: 10.48550/arxiv.0710.0101 · pith_short_12: EE4HBXYFATJ7 · pith_short_16: EE4HBXYFATJ7OTGN · pith_short_8: EE4HBXYF

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/EE4HBXYFATJ7OTGNIG3R44W3ZL \
  | 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: 213870df0504d3f74ccd41b71e72dbcae7fda03937789989b56ca0f2bd4ceaab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4e2aba44c0f5cbfd18de13bebb0bc5f51fc92ef453bc43b95197429eb3d0dfcc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2007-09-30T02:59:46Z",
    "title_canon_sha256": "fdf9deb39944eea211b3683d45da991cd8b52496ea2290d57b39f3a3306d6159"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0101",
    "kind": "arxiv",
    "version": 4
  }
}