Pith Number

pith:TC5KMERF

pith:2019:TC5KMERF44LM5YJV7C25VEOSA3

not attested not anchored not stored refs pending

Rigidity of Area-Minimizing $2$-Spheres in $n$-Manifolds with Positive Scalar Curvature

Jintian Zhu

arxiv:1903.05785 v3 · 2019-03-14 · 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{TC5KMERF44LM5YJV7C25VEOSA3}

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	2026-05-17T23:49:59.196330Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98baa61225e716cee135f8b5da91d206de9bafbd20bc453e3dd06cdf1259a784

Aliases

arxiv: 1903.05785 · arxiv_version: 1903.05785v3 · doi: 10.48550/arxiv.1903.05785 · pith_short_12: TC5KMERF44LM · pith_short_16: TC5KMERF44LM5YJV · pith_short_8: TC5KMERF

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/TC5KMERF44LM5YJV7C25VEOSA3 \
  | 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: 98baa61225e716cee135f8b5da91d206de9bafbd20bc453e3dd06cdf1259a784

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73a42b216f6a09e7e2d1fc1497fc44e10b00609724a8df39fdbe6fc4c7b3ef78",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-14T01:23:18Z",
    "title_canon_sha256": "310eac3ded8865c879d6e152ab39e7f105333a38def0b0271daa373e9a5ccdc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.05785",
    "kind": "arxiv",
    "version": 3
  }
}