Pith Number

pith:IIM5T36A

pith:2012:IIM5T36A46NBFFB7TW3IVOFSFI

not attested not anchored not stored refs pending

On Lower Bounds of the First Eigenvalue of Finsler-Laplacian

Qun He, Songting Yin, Yibing Shen

arxiv:1210.7606 v1 · 2012-10-29 · 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{IIM5T36A46NBFFB7TW3IVOFSFI}

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	2026-05-18T03:42:09.396837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4219d9efc0e79a12943f9db68ab8b22a0df222d43eb050a97e2f43f83e66cc92

Aliases

arxiv: 1210.7606 · arxiv_version: 1210.7606v1 · doi: 10.48550/arxiv.1210.7606 · pith_short_12: IIM5T36A46NB · pith_short_16: IIM5T36A46NBFFB7 · pith_short_8: IIM5T36A

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/IIM5T36A46NBFFB7TW3IVOFSFI \
  | 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: 4219d9efc0e79a12943f9db68ab8b22a0df222d43eb050a97e2f43f83e66cc92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e1d7904dea2f835335d0482c2af7a7205a376b7d5fd0b7542a8ddead611243a",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-10-29T10:10:22Z",
    "title_canon_sha256": "e2633c01e9e1eec93b3f09b4a129b4055a8d214bbd7a51afb1cce3d9fba7f4fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7606",
    "kind": "arxiv",
    "version": 1
  }
}