Pith Number

pith:Q3OGPKDE

pith:2016:Q3OGPKDE3RPRHKTNDVLX7POVP5

not attested not anchored not stored refs pending

Neumann Isoperimetric Constant Estimate for Convex Domains

Guofang Wei, Xianzhe Dai, Zhenlei Zhang

arxiv:1612.05843 v1 · 2016-12-18 · 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{Q3OGPKDE3RPRHKTNDVLX7POVP5}

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	2026-05-18T00:54:46.512653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86dc67a864dc5f13aa6d1d577fbdd57f4e03a766ba2578f1641a38a1d795daed

Aliases

arxiv: 1612.05843 · arxiv_version: 1612.05843v1 · doi: 10.48550/arxiv.1612.05843 · pith_short_12: Q3OGPKDE3RPR · pith_short_16: Q3OGPKDE3RPRHKTN · pith_short_8: Q3OGPKDE

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/Q3OGPKDE3RPRHKTNDVLX7POVP5 \
  | 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: 86dc67a864dc5f13aa6d1d577fbdd57f4e03a766ba2578f1641a38a1d795daed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc5580e640b9aa2a99f46c07cea4bb8a0667c7865bd0533bb054ced2dda31bd2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-18T01:22:23Z",
    "title_canon_sha256": "895a1fef68228413d8456df3936262e1d6b3636bf457b1865bb18a6229a23442"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05843",
    "kind": "arxiv",
    "version": 1
  }
}