Pith Number

pith:YNZUM7SA

pith:2015:YNZUM7SA7O6NTCK4WPKAGKC6FR

not attested not anchored not stored refs pending

An estimate on the nodal set of eigenspinors on closed surfaces

Volker Branding

arxiv:1510.01200 v2 · 2015-10-05 · math.DG · math-ph · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YNZUM7SA7O6NTCK4WPKAGKC6FR}

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	2026-05-18T00:20:32.596924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c373467e40fbbcd9895cb3d403285e2c565a37112e73de6fd1e55a9f6ac50266

Aliases

arxiv: 1510.01200 · arxiv_version: 1510.01200v2 · doi: 10.48550/arxiv.1510.01200 · pith_short_12: YNZUM7SA7O6N · pith_short_16: YNZUM7SA7O6NTCK4 · pith_short_8: YNZUM7SA

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/YNZUM7SA7O6NTCK4WPKAGKC6FR \
  | 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: c373467e40fbbcd9895cb3d403285e2c565a37112e73de6fd1e55a9f6ac50266

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe2a8cf1c008d5170ee33643c472d598ccbd1ddb16c863cdfe665b79d61fae77",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.SP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-05T16:03:44Z",
    "title_canon_sha256": "d6bbccd74de3af35bfe9b76f5fdef4fa72698a13925bdb99456ffeccfa37579a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01200",
    "kind": "arxiv",
    "version": 2
  }
}