Pith Number

pith:T67M2TJ4

pith:2014:T67M2TJ4ZVR2WTDF7L7ATTFNUD

not attested not anchored not stored refs pending

Mean curvature bounds and eigenvalues of Robin Laplacians

Konstantin Pankrashkin, Nicolas Popoff

arxiv:1407.3087 v1 · 2014-07-11 · math.SP · math.AP · math.DG · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{T67M2TJ4ZVR2WTDF7L7ATTFNUD}

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	2026-05-18T01:31:21.505331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fbecd4d3ccd63ab4c65fafe09ccada0eb1c661345900cf259bacfa31573bc1a

Aliases

arxiv: 1407.3087 · arxiv_version: 1407.3087v1 · doi: 10.48550/arxiv.1407.3087 · pith_short_12: T67M2TJ4ZVR2 · pith_short_16: T67M2TJ4ZVR2WTDF · pith_short_8: T67M2TJ4

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/T67M2TJ4ZVR2WTDF7L7ATTFNUD \
  | 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: 9fbecd4d3ccd63ab4c65fafe09ccada0eb1c661345900cf259bacfa31573bc1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2bb4e6576988f7a4fad9c1f016832a7da3e6553040cbe20f47df6de0c532320a",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2014-07-11T09:35:17Z",
    "title_canon_sha256": "2e01d4306ffba8ba7eb1f9c4b07e1a9bdc9071fc3a2705b13000051a0064ee1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.3087",
    "kind": "arxiv",
    "version": 1
  }
}