Pith Number

pith:V75M2XUS

pith:2014:V75M2XUSPMCGIXWHESEFH35CL3

not attested not anchored not stored refs pending

Some rigidity results on critical metrics for quadratic functionals

Giovanni Catino

arxiv:1404.0569 v1 · 2014-04-02 · 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{V75M2XUSPMCGIXWHESEFH35CL3}

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	2026-05-18T00:55:58.784133Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

affacd5e927b04645ec7248853efa25ee739953d561dd276eed331ccccca18d7

Aliases

arxiv: 1404.0569 · arxiv_version: 1404.0569v1 · doi: 10.48550/arxiv.1404.0569 · pith_short_12: V75M2XUSPMCG · pith_short_16: V75M2XUSPMCGIXWH · pith_short_8: V75M2XUS

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/V75M2XUSPMCGIXWHESEFH35CL3 \
  | 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: affacd5e927b04645ec7248853efa25ee739953d561dd276eed331ccccca18d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7533a17d99921e9fc3c26ba7235f53fb775081999b93ec4e3583f5736f3a6e93",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-04-02T14:32:01Z",
    "title_canon_sha256": "da39049c3a5ffbb2efc5c0628ddde34a3b43308322ea74dc24fdb6e4436d7622"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0569",
    "kind": "arxiv",
    "version": 1
  }
}