Pith Number

pith:IOP2IJEH

pith:2015:IOP2IJEHR7AL6B33UV4MF7XIKB

not attested not anchored not stored refs pending

Clustering phenomena for linear perturbation of the Yamabe equation

Angela Pistoia, Giusi Vaira

arxiv:1511.07028 v1 · 2015-11-22 · 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{IOP2IJEHR7AL6B33UV4MF7XIKB}

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	2026-05-18T01:26:16.832401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

439fa424878fc0bf077ba578c2fee85058da9d0a3a40b4af97c393de1eb32b7b

Aliases

arxiv: 1511.07028 · arxiv_version: 1511.07028v1 · doi: 10.48550/arxiv.1511.07028 · pith_short_12: IOP2IJEHR7AL · pith_short_16: IOP2IJEHR7AL6B33 · pith_short_8: IOP2IJEH

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/IOP2IJEHR7AL6B33UV4MF7XIKB \
  | 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: 439fa424878fc0bf077ba578c2fee85058da9d0a3a40b4af97c393de1eb32b7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ca960212b2cdbe979ded1528bb589a62beec2dfa024e981409496812183798",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-11-22T16:19:59Z",
    "title_canon_sha256": "777a1d7f2b3dcbc7caf886ed40f832441fef929489c0df73c64270c9e4e619a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07028",
    "kind": "arxiv",
    "version": 1
  }
}