Pith Number

pith:UCC264HW

pith:2006:UCC264HW7BFSRAHN5WWN2QCIOI

not attested not anchored not stored refs pending

On nodal sets and nodal domains on S^2 and R^2

Alexandre Eremenko, Dmitry Jakobson, Nikolai Nadirashvili

arxiv:math/0611627 v2 · 2006-11-21 · 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{UCC264HW7BFSRAHN5WWN2QCIOI}

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	2026-05-18T04:02:54.702340Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a085af70f6f84b2880ededacdd4048720af7ff6f946bda253892fd27ea8958d3

Aliases

arxiv: math/0611627 · arxiv_version: math/0611627v2 · doi: 10.48550/arxiv.math/0611627 · pith_short_12: UCC264HW7BFS · pith_short_16: UCC264HW7BFSRAHN · pith_short_8: UCC264HW

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/UCC264HW7BFSRAHN5WWN2QCIOI \
  | 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: a085af70f6f84b2880ededacdd4048720af7ff6f946bda253892fd27ea8958d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "63ecf65559197f9e5847e7751a99694a12b1936fb2014d5b3254463e7ef63089",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "",
    "primary_cat": "math.SP",
    "submitted_at": "2006-11-21T03:51:51Z",
    "title_canon_sha256": "131c72c79f8bd0ec099d2a02568b3425fd97c6a100be03cbcfaf4db870e6a293"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0611627",
    "kind": "arxiv",
    "version": 2
  }
}