Pith Number

pith:3Q3NXHR6

pith:2011:3Q3NXHR6NAMZM4Z52XKV6PB6TW

not attested not anchored not stored refs pending

A sharp lower bound for the first eigenvalue on Finsler manifolds

Chao Xia, Guofang Wang

arxiv:1112.4401 v1 · 2011-12-19 · math.AP · 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{3Q3NXHR6NAMZM4Z52XKV6PB6TW}

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	2026-05-18T00:43:38.103258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc36db9e3e681996733dd5d55f3c3e9d8482220f8b472f23654568fb2d82ae40

Aliases

arxiv: 1112.4401 · arxiv_version: 1112.4401v1 · doi: 10.48550/arxiv.1112.4401 · pith_short_12: 3Q3NXHR6NAMZ · pith_short_16: 3Q3NXHR6NAMZM4Z5 · pith_short_8: 3Q3NXHR6

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/3Q3NXHR6NAMZM4Z52XKV6PB6TW \
  | 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: dc36db9e3e681996733dd5d55f3c3e9d8482220f8b472f23654568fb2d82ae40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "418fe5e1991063e55cceecac4d307898da4d5b96253fa2f548ab03893b78eb55",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-12-19T16:53:18Z",
    "title_canon_sha256": "88f22a2d3f805e7569df98c8acfc6385f5aaadca653625da69a52b8ad6158017"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4401",
    "kind": "arxiv",
    "version": 1
  }
}