Pith Number

pith:TA7J67HQ

pith:2010:TA7J67HQS33IJY22STHAU4TLWG

not attested not anchored not stored refs pending

Dividing sets as nodal sets of an eigenfunction of the Laplacian

Samuel T. Lisi

arxiv:1004.0238 v1 · 2010-04-01 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TA7J67HQS33IJY22STHAU4TLWG}

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	2026-05-18T02:41:50.900860Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

983e9f7cf096f684e35a94ce0a726bb1ba02505b0997ae9cb477acc5b0722a59

Aliases

arxiv: 1004.0238 · arxiv_version: 1004.0238v1 · doi: 10.48550/arxiv.1004.0238 · pith_short_12: TA7J67HQS33I · pith_short_16: TA7J67HQS33IJY22 · pith_short_8: TA7J67HQ

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/TA7J67HQS33IJY22STHAU4TLWG \
  | 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: 983e9f7cf096f684e35a94ce0a726bb1ba02505b0997ae9cb477acc5b0722a59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7bff657e8c3ddd4e0d5918f038672b3509aeddce774b1f6acb0932387c993d74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-04-01T21:13:11Z",
    "title_canon_sha256": "8820bf17331ef7448da0f2263bb7831eb977c077a722bfbc3a152c4ca51074d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0238",
    "kind": "arxiv",
    "version": 1
  }
}