Pith Number

pith:UU7XKHIK

pith:2016:UU7XKHIKDQO5Q43T2ATLOMTGSH

not attested not anchored not stored refs pending

Sharp Fundamental Gap Estimate on Convex Domains of Sphere

Guofang Wei, Lili Wang, Shoo Seto

arxiv:1606.01212 v2 · 2016-06-03 · 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{UU7XKHIKDQO5Q43T2ATLOMTGSH}

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	2026-05-18T00:48:42.703460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a53f751d0a1c1dd87373d026b7326691eb350d13b5c2ab42162e81fde977e0bf

Aliases

arxiv: 1606.01212 · arxiv_version: 1606.01212v2 · doi: 10.48550/arxiv.1606.01212 · pith_short_12: UU7XKHIKDQO5 · pith_short_16: UU7XKHIKDQO5Q43T · pith_short_8: UU7XKHIK

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/UU7XKHIKDQO5Q43T2ATLOMTGSH \
  | 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: a53f751d0a1c1dd87373d026b7326691eb350d13b5c2ab42162e81fde977e0bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa5a2f3e3a7ef09095aee8845a5cdfc41b68a824a950fd45e51ba72b8f1a0cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-03T18:27:54Z",
    "title_canon_sha256": "af4328f974b03696bef49722b591076b877da303594b77a8d380154282b85511"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01212",
    "kind": "arxiv",
    "version": 2
  }
}