Pith Number

pith:NNYMW4WC

pith:2022:NNYMW4WCNOFC65Y6L4LU53K6W7

not attested not anchored not stored refs pending

A New Conformal Invariant for four-Dimensional Hypersurfaces

Yann Bernard

arxiv:2209.12469 v3 · 2022-09-26 · 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{NNYMW4WCNOFC65Y6L4LU53K6W7}

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	2026-07-05T07:13:39.264778Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b70cb72c26b8a2f771e5f174eed5eb7eb7c9677a9e8e4bbc08e455c83359c8b

Aliases

arxiv: 2209.12469 · arxiv_version: 2209.12469v3 · doi: 10.48550/arxiv.2209.12469 · pith_short_12: NNYMW4WCNOFC · pith_short_16: NNYMW4WCNOFC65Y6 · pith_short_8: NNYMW4WC

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/NNYMW4WCNOFC65Y6L4LU53K6W7 \
  | 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: 6b70cb72c26b8a2f771e5f174eed5eb7eb7c9677a9e8e4bbc08e455c83359c8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccea760dfe0f19f56d5cea4326d486c1e169e2508bf7600fd8febc55814c26b1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-09-26T07:27:17Z",
    "title_canon_sha256": "d51572c68776ac28cc94ea38961a5d38ab4f5e8bbac9cd3d747a1b4acf431214"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2209.12469",
    "kind": "arxiv",
    "version": 3
  }
}