Pith Number

pith:FGX466YY

pith:2015:FGX466YYKKQEAJL2OQYRMGU2QG

not attested not anchored not stored refs pending

An extension of the Birkhoff integrability for multifunctions

Alina Gavrilut, Anca Croitoru, Anna Rita Sambucini, Domenico Candeloro

arxiv:1507.06444 v1 · 2015-07-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FGX466YYKKQEAJL2OQYRMGU2QG}

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	2026-05-18T00:59:49.338336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29afcf7b1852a040257a7431161a9a81b3658664cef7d31df91e9fbf80f0265b

Aliases

arxiv: 1507.06444 · arxiv_version: 1507.06444v1 · doi: 10.48550/arxiv.1507.06444 · pith_short_12: FGX466YYKKQE · pith_short_16: FGX466YYKKQEAJL2 · pith_short_8: FGX466YY

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/FGX466YYKKQEAJL2OQYRMGU2QG \
  | 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: 29afcf7b1852a040257a7431161a9a81b3658664cef7d31df91e9fbf80f0265b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecf099def213044fb5679e24e6a383d56db20a36c7c8bebbf00d8a2e8162c867",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-07-23T10:59:37Z",
    "title_canon_sha256": "c1971adf1a41fb8e0e70a7366b303f35749036bd81943b982134fefd266a2d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06444",
    "kind": "arxiv",
    "version": 1
  }
}