Pith Number

pith:UIY3GZ3D

pith:2016:UIY3GZ3DGEA4SANS6YFQKHIKXY

not attested not anchored not stored refs pending

Hausdorff Stability of the Round Two-Sphere Under Small Perturbations of the Entropy

Jacob Bernstein, Lu Wang

arxiv:1608.02314 v1 · 2016-08-08 · 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{UIY3GZ3DGEA4SANS6YFQKHIKXY}

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	2026-05-18T01:09:40.501838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a231b367633101c901b2f60b051d0abe0a0f0cf029a72e9c025abebce9a6aefe

Aliases

arxiv: 1608.02314 · arxiv_version: 1608.02314v1 · doi: 10.48550/arxiv.1608.02314 · pith_short_12: UIY3GZ3DGEA4 · pith_short_16: UIY3GZ3DGEA4SANS · pith_short_8: UIY3GZ3D

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/UIY3GZ3DGEA4SANS6YFQKHIKXY \
  | 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: a231b367633101c901b2f60b051d0abe0a0f0cf029a72e9c025abebce9a6aefe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f159cfd8c9ff464272892d61f7e9fbb791d2fc900deef7c5728b6a54e00afe5",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-08-08T04:35:59Z",
    "title_canon_sha256": "c547f6f6c2b6a6b537d09a9ef033a7fad82ced62d41090dfab3131afb83d4877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02314",
    "kind": "arxiv",
    "version": 1
  }
}