Pith Number

pith:MBHJ4L3L

pith:2015:MBHJ4L3LF6UG4GGQDOZ7GMUSEP

not attested not anchored not stored refs pending

Laplace operators with eigenfunctions whose nodal set is a knot

Alberto Enciso, Daniel Peralta-Salas, David Hartley

arxiv:1505.06684 v1 · 2015-05-25 · math.SP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MBHJ4L3LF6UG4GGQDOZ7GMUSEP}

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	2026-05-18T02:03:44.294228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

604e9e2f6b2fa86e18d01bb3f3329223d4fe9db868dd37693cb7c0ed590a4136

Aliases

arxiv: 1505.06684 · arxiv_version: 1505.06684v1 · doi: 10.48550/arxiv.1505.06684 · pith_short_12: MBHJ4L3LF6UG · pith_short_16: MBHJ4L3LF6UG4GGQ · pith_short_8: MBHJ4L3L

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/MBHJ4L3LF6UG4GGQDOZ7GMUSEP \
  | 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: 604e9e2f6b2fa86e18d01bb3f3329223d4fe9db868dd37693cb7c0ed590a4136

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8026df45853957be6dcee8a8147b7ff8391cd9d089c25bf99e15ee662111c255",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-05-25T16:36:05Z",
    "title_canon_sha256": "4e793853317da3c8211ccaf66fd68e9cef4aebe5576f1d3eb1ff824b2236a496"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.06684",
    "kind": "arxiv",
    "version": 1
  }
}