Pith Number

pith:CY2UEOLN

pith:2015:CY2UEOLN4NCNAXCXAAF24E7YWH

not attested not anchored not stored refs pending

Curve shortening flows in warped product manifolds

Hengyu Zhou

arxiv:1511.07553 v2 · 2015-11-24 · 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{CY2UEOLN4NCNAXCXAAF24E7YWH}

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	2026-05-18T00:52:23.709702Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

163542396de344d05c57000bae13f8b1e7ac5a85e0ca5f1026faa1acb77374c0

Aliases

arxiv: 1511.07553 · arxiv_version: 1511.07553v2 · doi: 10.48550/arxiv.1511.07553 · pith_short_12: CY2UEOLN4NCN · pith_short_16: CY2UEOLN4NCNAXCX · pith_short_8: CY2UEOLN

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/CY2UEOLN4NCNAXCXAAF24E7YWH \
  | 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: 163542396de344d05c57000bae13f8b1e7ac5a85e0ca5f1026faa1acb77374c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cbbb3cb9d2a8f69107a74abc3f42a1dfba9139940b9c693358c8262ade539f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-24T03:38:15Z",
    "title_canon_sha256": "866d53cdeb32cd933af352aa03c035b50aa3b60222dac18d866890e81d3fedca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07553",
    "kind": "arxiv",
    "version": 2
  }
}