Pith Number

pith:FRN6D4HM

pith:2011:FRN6D4HMUBCAQUSXCBSYBKI5EI

not attested not anchored not stored refs pending

Mountain pass solutions for quasi-linear equations via a monotonicity trick

Benedetta Pellacci, Marco Squassina

arxiv:1103.0163 v1 · 2011-03-01 · 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{FRN6D4HMUBCAQUSXCBSYBKI5EI}

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	2026-05-18T04:27:37.225048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c5be1f0eca044085257106580a91d2207db1e3a7e049183261bf2db2481fed9

Aliases

arxiv: 1103.0163 · arxiv_version: 1103.0163v1 · doi: 10.48550/arxiv.1103.0163 · pith_short_12: FRN6D4HMUBCA · pith_short_16: FRN6D4HMUBCAQUSX · pith_short_8: FRN6D4HM

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/FRN6D4HMUBCAQUSXCBSYBKI5EI \
  | 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: 2c5be1f0eca044085257106580a91d2207db1e3a7e049183261bf2db2481fed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6e71eca0c61055e30caa38c9a402a4abcba95d8bf6eedd1cc0dad207dc45936",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-01T13:27:48Z",
    "title_canon_sha256": "50db77e54947dbdb4b162df79678dcb0ec2a4d3a1e1f2098b5934c4f88e7de66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.0163",
    "kind": "arxiv",
    "version": 1
  }
}