Pith Number

pith:FSYBC2SH

pith:2017:FSYBC2SHFAWVB5CYQAPSK2XCJE

not attested not anchored not stored refs pending

On necessary conditions for the Comparison Principle and the Sub and Supersolutions Method for the stationary Kirchhoff Equation

Eugenio Massa, Leonelo Iturriaga

arxiv:1710.11061 v1 · 2017-10-30 · 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{FSYBC2SHFAWVB5CYQAPSK2XCJE}

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	2026-05-18T00:21:21.946719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2cb0116a47282d50f458801f256ae2490b8ab0f6a0876eae4fba361b6eeea17c

Aliases

arxiv: 1710.11061 · arxiv_version: 1710.11061v1 · doi: 10.48550/arxiv.1710.11061 · pith_short_12: FSYBC2SHFAWV · pith_short_16: FSYBC2SHFAWVB5CY · pith_short_8: FSYBC2SH

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/FSYBC2SHFAWVB5CYQAPSK2XCJE \
  | 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: 2cb0116a47282d50f458801f256ae2490b8ab0f6a0876eae4fba361b6eeea17c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23145703d9e00789c18ef67304eeb8eaaba69468e67e6bae0e93bba98c867b98",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-30T16:51:12Z",
    "title_canon_sha256": "898ab85884be7a19795ca084f84e4f3d4674d724d3f8eb0ec45871e378e17feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11061",
    "kind": "arxiv",
    "version": 1
  }
}