Pith Number

pith:YPA34ZZC

pith:2015:YPA34ZZCOKTPFHMWHPT3EJ4MMY

not attested not anchored not stored refs pending

On $L_p$ Affine Surface Area and Curvature Measures

Yiming Zhao

arxiv:1509.05485 v1 · 2015-09-18 · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YPA34ZZCOKTPFHMWHPT3EJ4MMY}

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	2026-05-18T01:32:43.051048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3c1be672272a6f29d963be7b2278c662e9d8a0493e42a7d410634a3dd02245c

Aliases

arxiv: 1509.05485 · arxiv_version: 1509.05485v1 · doi: 10.48550/arxiv.1509.05485 · pith_short_12: YPA34ZZCOKTP · pith_short_16: YPA34ZZCOKTPFHMW · pith_short_8: YPA34ZZC

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/YPA34ZZCOKTPFHMWHPT3EJ4MMY \
  | 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: c3c1be672272a6f29d963be7b2278c662e9d8a0493e42a7d410634a3dd02245c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0fde5dbadd9d9aaedb76239d68d0ec54294331953645ccef8bb7370ee383a557",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2015-09-18T01:57:47Z",
    "title_canon_sha256": "1fd986b6bfe6f63bcfe18b66da3f4ec7af8b6efcc7e3710819fbc401c3f7cbdf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05485",
    "kind": "arxiv",
    "version": 1
  }
}