Pith Number

pith:MZPG3ABB

pith:2017:MZPG3ABBW6A7AONS3QRKPTF6VX

not attested not anchored not stored refs pending

Multiplicity of solutions for resonant and non-resonant asymptotically linear elliptic problems

Jo\~ao R. Santos J\'unior, Jos\'e R. S. Nascimento, Marcos T. O. Pimenta

arxiv:1708.03399 v2 · 2017-08-10 · 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{MZPG3ABBW6A7AONS3QRKPTF6VX}

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	2026-05-18T00:05:46.215357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

665e6d8021b781f039b2dc22a7ccbeaded9057da8fbfb6ab3948934816aeba27

Aliases

arxiv: 1708.03399 · arxiv_version: 1708.03399v2 · doi: 10.48550/arxiv.1708.03399 · pith_short_12: MZPG3ABBW6A7 · pith_short_16: MZPG3ABBW6A7AONS · pith_short_8: MZPG3ABB

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/MZPG3ABBW6A7AONS3QRKPTF6VX \
  | 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: 665e6d8021b781f039b2dc22a7ccbeaded9057da8fbfb6ab3948934816aeba27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "389d9a78af76f42926c6aa48e9a6f00b454a0de251cafd30c393d2082d80f54e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-10T22:19:53Z",
    "title_canon_sha256": "e44358384a52b514b7b69e3301c6c5b6f70fc88f0827e38ff90012a2f190e57d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.03399",
    "kind": "arxiv",
    "version": 2
  }
}