Pith Number

pith:YL3BM4PK

pith:2015:YL3BM4PKAOB5QERSJCU45JEGHE

not attested not anchored not stored refs pending

GJMS-type Operators on a compact Riemannian manifold: Best constants and Coron-type solutions

Saikat Mazumdar

arxiv:1512.02126 v2 · 2015-12-07 · 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{YL3BM4PKAOB5QERSJCU45JEGHE}

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	2026-05-18T01:09:32.140926Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c2f61671ea0383d8123248a9cea486391f4040598263ebe2c59248374671d93e

Aliases

arxiv: 1512.02126 · arxiv_version: 1512.02126v2 · doi: 10.48550/arxiv.1512.02126 · pith_short_12: YL3BM4PKAOB5 · pith_short_16: YL3BM4PKAOB5QERS · pith_short_8: YL3BM4PK

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/YL3BM4PKAOB5QERSJCU45JEGHE \
  | 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: c2f61671ea0383d8123248a9cea486391f4040598263ebe2c59248374671d93e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "55a226796ca617395a8f2951a2ab17e8eff6d6d827d2ff1dbbce729934640710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-07T17:15:43Z",
    "title_canon_sha256": "819b6dd31cf67653a8fbdfdb9f0f99223279dcf2853c3b869b855edf369d1cb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02126",
    "kind": "arxiv",
    "version": 2
  }
}