Pith Number

pith:AKZS2DFG

pith:2022:AKZS2DFGJ7S2D45G35BGWEK7FY

not attested not anchored not stored refs pending

Scalar curvature under the collapse of metric

Khoi Nguyen

arxiv:2210.16163 v1 · 2022-10-28 · 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{AKZS2DFGJ7S2D45G35BGWEK7FY}

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	2026-07-05T05:11:31.065911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02b32d0ca64fe5a1f3a6df426b115f2e3801a75a7e87c03fea04f22ef9b62c1a

Aliases

arxiv: 2210.16163 · arxiv_version: 2210.16163v1 · doi: 10.48550/arxiv.2210.16163 · pith_short_12: AKZS2DFGJ7S2 · pith_short_16: AKZS2DFGJ7S2D45G · pith_short_8: AKZS2DFG

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/AKZS2DFGJ7S2D45G35BGWEK7FY \
  | 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: 02b32d0ca64fe5a1f3a6df426b115f2e3801a75a7e87c03fea04f22ef9b62c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bdd949489bf14857ad3c75c7841f7375edae8373e4bc76ab31fe964145edfcb6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2022-10-28T14:39:46Z",
    "title_canon_sha256": "3f427bfdda132f32b7c90714525e596dd155a6cce34f2a6b5a7fbe016ece43c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.16163",
    "kind": "arxiv",
    "version": 1
  }
}