Pith Number

pith:LAZQ7ALQ

pith:2015:LAZQ7ALQMMNS3Y6RGMAUUWJYLZ

not attested not anchored not stored refs pending

Positive solutions for super-sublinear indefinite problems: high multiplicity results via coincidence degree

Alberto Boscaggin, Fabio Zanolin, Guglielmo Feltrin

arxiv:1512.07138 v1 · 2015-12-22 · math.CA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LAZQ7ALQMMNS3Y6RGMAUUWJYLZ}

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	2026-05-18T01:23:52.833258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58330f8170631b2de3d133014a59385e500e4e66d0f6d9bb47d8f24a7d5e56d8

Aliases

arxiv: 1512.07138 · arxiv_version: 1512.07138v1 · doi: 10.48550/arxiv.1512.07138 · pith_short_12: LAZQ7ALQMMNS · pith_short_16: LAZQ7ALQMMNS3Y6R · pith_short_8: LAZQ7ALQ

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/LAZQ7ALQMMNS3Y6RGMAUUWJYLZ \
  | 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: 58330f8170631b2de3d133014a59385e500e4e66d0f6d9bb47d8f24a7d5e56d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db7e3d813ecbea64ed1719294267d046bc5e4aec72f3a86df1f68102cfc93431",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-22T16:00:01Z",
    "title_canon_sha256": "22818b5ab5ed5f1d20a11affdfdf77dd8d40d915b78eb875d608d0bf04ed6222"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.07138",
    "kind": "arxiv",
    "version": 1
  }
}