Pith Number

pith:BU2NDQED

pith:2012:BU2NDQEDS652FHZRQJF5YXYVLU

not attested not anchored not stored refs pending

Some Unstable Critical Metrics for $L^{\frac{n}{2}}$-norm of the Curvature Tensor

Atreyee Bhattacharya, Soma Maity

arxiv:1211.5774 v1 · 2012-11-25 · 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{BU2NDQEDS652FHZRQJF5YXYVLU}

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	2026-05-18T03:40:01.962963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d34d1c08397bba29f31824bdc5f155d014a1b4a36648c731ff22abbeb77d076

Aliases

arxiv: 1211.5774 · arxiv_version: 1211.5774v1 · doi: 10.48550/arxiv.1211.5774 · pith_short_12: BU2NDQEDS652 · pith_short_16: BU2NDQEDS652FHZR · pith_short_8: BU2NDQED

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/BU2NDQEDS652FHZRQJF5YXYVLU \
  | 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: 0d34d1c08397bba29f31824bdc5f155d014a1b4a36648c731ff22abbeb77d076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45990a6d2c831922db6ab7f1cd51756d204f2d167de7b752f493e2a50e1046f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-25T16:25:07Z",
    "title_canon_sha256": "b8f14c8fc7b69dc65722f982dcdd4b349f17597d38cbd1efe3c300b6e5c3c138"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5774",
    "kind": "arxiv",
    "version": 1
  }
}