Pith Number

pith:L7RWNJPF

pith:2018:L7RWNJPF64TW3TPKTJZ7MOPLQQ

not attested not anchored not stored refs pending

Fundamental gap estimate for convex domains on sphere -- the case $n=2$

Guofang Wei, Shoo Seto, Xianzhe Dai

arxiv:1803.01115 v1 · 2018-03-03 · math.DG · math.AP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L7RWNJPF64TW3TPKTJZ7MOPLQQ}

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	2026-05-18T00:22:01.728015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fe366a5e5f7276dcdea9a73f639eb8415cc7bb8fda79ee02c6af2f273eaef42

Aliases

arxiv: 1803.01115 · arxiv_version: 1803.01115v1 · doi: 10.48550/arxiv.1803.01115 · pith_short_12: L7RWNJPF64TW · pith_short_16: L7RWNJPF64TW3TPK · pith_short_8: L7RWNJPF

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/L7RWNJPF64TW3TPKTJZ7MOPLQQ \
  | 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: 5fe366a5e5f7276dcdea9a73f639eb8415cc7bb8fda79ee02c6af2f273eaef42

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bcbe8d44cc000108407afcdb2cad920373cedcb5ab91fdf5d65515235b92574",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-03-03T06:20:00Z",
    "title_canon_sha256": "ef65c46b975bc8f733b3e7645a06be4949e754c9fb6223c518f07a2a966bc662"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01115",
    "kind": "arxiv",
    "version": 1
  }
}