Pith Number

pith:YTRAX2V6

pith:2017:YTRAX2V6OM2CIIFX2PTICDUIP4

not attested not anchored not stored refs pending

Fundamental Gap of Convex Domains in the Spheres (with Appendix B by Qi S. Zhang)

Chenxu He, Guofang Wei

arxiv:1705.11152 v1 · 2017-05-31 · 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{YTRAX2V6OM2CIIFX2PTICDUIP4}

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	2026-05-18T00:43:19.113083Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4e20beabe73342420b7d3e6810e887f018456426dd731f0daf4d1ecefdcfe69

Aliases

arxiv: 1705.11152 · arxiv_version: 1705.11152v1 · doi: 10.48550/arxiv.1705.11152 · pith_short_12: YTRAX2V6OM2C · pith_short_16: YTRAX2V6OM2CIIFX · pith_short_8: YTRAX2V6

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/YTRAX2V6OM2CIIFX2PTICDUIP4 \
  | 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: c4e20beabe73342420b7d3e6810e887f018456426dd731f0daf4d1ecefdcfe69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f30ba534ea79dd0d2f1c7affa6d658cdd49e453ff7956fda4c1b62cdc7884f3b",
    "cross_cats_sorted": [
      "math.AP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-05-31T15:46:44Z",
    "title_canon_sha256": "5eaf3e0e5e53299fa4607e3224e8b3033fbb88c72546101dd7a7ba76f92f0490"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.11152",
    "kind": "arxiv",
    "version": 1
  }
}