Pith Number

pith:I5MZ5ZIB

pith:2022:I5MZ5ZIBAYRS37W52UJRTTF5H7

not attested not anchored not stored refs pending

Regularity of four dimensional Willmore-type hypersurfaces

Peter Olamide Olanipekun, Yann Bernard

arxiv:2211.05320 v1 · 2022-11-10 · 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{I5MZ5ZIBAYRS37W52UJRTTF5H7}

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	2026-07-05T05:15:03.365290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47599ee50106232dfeddd51319ccbd3fe26a4889d1220211436706821ad6ef71

Aliases

arxiv: 2211.05320 · arxiv_version: 2211.05320v1 · doi: 10.48550/arxiv.2211.05320 · pith_short_12: I5MZ5ZIBAYRS · pith_short_16: I5MZ5ZIBAYRS37W5 · pith_short_8: I5MZ5ZIB

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/I5MZ5ZIBAYRS37W52UJRTTF5H7 \
  | 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: 47599ee50106232dfeddd51319ccbd3fe26a4889d1220211436706821ad6ef71

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0f316524ba5731b7a6122fee2547eb0a5e39a8cc3f07862afc96ebcb78f5407",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-11-10T03:50:13Z",
    "title_canon_sha256": "e3193477e4c4ea4827a7625b20c9305e92f7f5d11e96b05d9b416049cc2f6a9c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.05320",
    "kind": "arxiv",
    "version": 1
  }
}