Pith Number

pith:CHXYWP3J

pith:2016:CHXYWP3J4YWSNYWW2EGQE23RER

not attested not anchored not stored refs pending

The Gap of the Consecutive Eigenvalues of the Drifting Laplacian on Metric Measure Spaces

Lingzhong Zeng

arxiv:1606.06429 v1 · 2016-06-21 · math.DG · 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{CHXYWP3J4YWSNYWW2EGQE23RER}

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	2026-05-18T01:12:09.595304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11ef8b3f69e62d26e2d6d10d026b71246084154a6a95c0f2e1634903b7a5cbb9

Aliases

arxiv: 1606.06429 · arxiv_version: 1606.06429v1 · doi: 10.48550/arxiv.1606.06429 · pith_short_12: CHXYWP3J4YWS · pith_short_16: CHXYWP3J4YWSNYWW · pith_short_8: CHXYWP3J

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/CHXYWP3J4YWSNYWW2EGQE23RER \
  | 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: 11ef8b3f69e62d26e2d6d10d026b71246084154a6a95c0f2e1634903b7a5cbb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "211f20f634dbb1a3332486c95de4a4aa0d41c4e34da122adca45b881e4d41afc",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-21T05:27:12Z",
    "title_canon_sha256": "dc38d858d3ca0722bbf5a6d75a6bc2498d409d6c4ab0d137d68725b22a84952e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.06429",
    "kind": "arxiv",
    "version": 1
  }
}