Pith Number

pith:2KD5VN7X

pith:2018:2KD5VN7XNWFX3KUEXH22SBZT6U

not attested not anchored not stored refs pending

First eigenvalues of geometric operators under the Yamabe flow

Pak Tung Ho

arxiv:1803.07787 v1 · 2018-03-21 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2KD5VN7XNWFX3KUEXH22SBZT6U}

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	2026-05-18T00:20:28.955918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d287dab7f76d8b7daa84b9f5a90733f5160ed2949100c287111edb43102432d4

Aliases

arxiv: 1803.07787 · arxiv_version: 1803.07787v1 · doi: 10.48550/arxiv.1803.07787 · pith_short_12: 2KD5VN7XNWFX · pith_short_16: 2KD5VN7XNWFX3KUE · pith_short_8: 2KD5VN7X

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/2KD5VN7XNWFX3KUEXH22SBZT6U \
  | 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: d287dab7f76d8b7daa84b9f5a90733f5160ed2949100c287111edb43102432d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9455c7df497087f1dd5d08d4909a8db83023610ad43ad2a93ee8582462c5e54f",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-21T08:01:33Z",
    "title_canon_sha256": "d53a1a60f3b839603b51137f4c798e9c52254731fa33ade4e1c48ab4590fbca7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.07787",
    "kind": "arxiv",
    "version": 1
  }
}