Pith Number

pith:APCBZ5MM

pith:2024:APCBZ5MM5WFGRTF6TIJDAFOWNW

not attested not anchored not stored refs pending

Scalar curvature rigidity of spheres with subsets removed and $L^\infty$ metrics

Jinmin Wang, Zhizhang Xie

arxiv:2407.21312 v4 · 2024-07-31 · 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{APCBZ5MM5WFGRTF6TIJDAFOWNW}

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	2026-05-21T02:04:45.856576Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03c41cf58ced8a68ccbe9a123015d66d8129555293c1bdf58e936e5ae96007cc

Aliases

arxiv: 2407.21312 · arxiv_version: 2407.21312v4 · doi: 10.48550/arxiv.2407.21312 · pith_short_12: APCBZ5MM5WFG · pith_short_16: APCBZ5MM5WFGRTF6 · pith_short_8: APCBZ5MM

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/APCBZ5MM5WFGRTF6TIJDAFOWNW \
  | 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: 03c41cf58ced8a68ccbe9a123015d66d8129555293c1bdf58e936e5ae96007cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "161c1c34eb181aed5ea1ae614ab02e2c41c03bc11d1da4b1bcfab26fcbfb49e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2024-07-31T03:44:38Z",
    "title_canon_sha256": "8950c1ba81c33bb19da74f8e31869195aa676902569bb2156c866e846f5050d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.21312",
    "kind": "arxiv",
    "version": 4
  }
}