Pith Number

pith:I6NRTYI5

pith:2019:I6NRTYI5YRYLST3KOLUIDXZPAU

not attested not anchored not stored refs pending

Existence and multiplicity of solutions to a nonlocal elliptic PDE with variable exponent in a Nehari manifold using the Banach fixed point theorem

Amita Soni, D. Choudhuri

arxiv:1907.09009 v1 · 2019-07-21 · 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{I6NRTYI5YRYLST3KOLUIDXZPAU}

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	2026-05-17T23:40:02.431874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

479b19e11dc470b94f6a72e881df2f05000d3ce866a75d4b05423dfa54b6665c

Aliases

arxiv: 1907.09009 · arxiv_version: 1907.09009v1 · doi: 10.48550/arxiv.1907.09009 · pith_short_12: I6NRTYI5YRYL · pith_short_16: I6NRTYI5YRYLST3K · pith_short_8: I6NRTYI5

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/I6NRTYI5YRYLST3KOLUIDXZPAU \
  | 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: 479b19e11dc470b94f6a72e881df2f05000d3ce866a75d4b05423dfa54b6665c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35034e14c3a9ccf47bbb06893c0b093b50d906c40281d58e45fb9248ee8d8a84",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-21T17:23:21Z",
    "title_canon_sha256": "806167996b1fc785255b729e73465be03423eab03131fe8fed28b8c5cb8f2d86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09009",
    "kind": "arxiv",
    "version": 1
  }
}