Pith Number

pith:UZDC72QQ

pith:2020:UZDC72QQXSZSQBGNRJDJ63EGSM

not attested not anchored not stored refs pending

The vanishing of the fundamental gap of convex domains in $\mathbb H^n$

Alina Stancu, Guofang Wei, Julie Clutterbuck, Theodora Bourni, Valentina-Mira Wheeler, Xuan Hien Nguyen

arxiv:2005.11784 v1 · 2020-05-24 · 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{UZDC72QQXSZSQBGNRJDJ63EGSM}

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	2026-07-05T01:05:17.424677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6462fea10bcb32804cd8a469f6c86931e3d99f07929c042cfbe3a3144379cfa

Aliases

arxiv: 2005.11784 · arxiv_version: 2005.11784v1 · doi: 10.48550/arxiv.2005.11784 · pith_short_12: UZDC72QQXSZS · pith_short_16: UZDC72QQXSZSQBGN · pith_short_8: UZDC72QQ

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/UZDC72QQXSZSQBGNRJDJ63EGSM \
  | 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: a6462fea10bcb32804cd8a469f6c86931e3d99f07929c042cfbe3a3144379cfa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff14dfab1f76d60d0f40a4cebda2afb286f146db5a7b8b2a391b8c81906abfdf",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-05-24T15:42:38Z",
    "title_canon_sha256": "554541e729ebc3e48f794aab99744bab8dabf2f95871a25d913f871e9e726784"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.11784",
    "kind": "arxiv",
    "version": 1
  }
}