Pith Number

pith:KFM2H3OH

pith:2017:KFM2H3OHDYPZSTGX3MUC4RVQL2

not attested not anchored not stored refs pending

Characterizing the harmonic manifolds by the eigenfunctions of the Laplacian

Jaigyoung Choe, JeongHyeong Park, Sinhwi Kim

arxiv:1707.05098 v1 · 2017-07-17 · 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{KFM2H3OHDYPZSTGX3MUC4RVQL2}

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	2026-05-18T00:21:27.597130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5159a3edc71e1f994cd7db282e46b05e85c6fc06f09a1b7fbf8f45c74974a99e

Aliases

arxiv: 1707.05098 · arxiv_version: 1707.05098v1 · doi: 10.48550/arxiv.1707.05098 · pith_short_12: KFM2H3OHDYPZ · pith_short_16: KFM2H3OHDYPZSTGX · pith_short_8: KFM2H3OH

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/KFM2H3OHDYPZSTGX3MUC4RVQL2 \
  | 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: 5159a3edc71e1f994cd7db282e46b05e85c6fc06f09a1b7fbf8f45c74974a99e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aa148888c3588a002fc6565c9250dd1094eedecb01e77e2aa07632e3b403741",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-07-17T11:21:21Z",
    "title_canon_sha256": "55dd666c6584dfa6c30ab010c48ee1299970596174f287437cd2b0aa9f34ad82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.05098",
    "kind": "arxiv",
    "version": 1
  }
}