Pith Number

pith:GBX5TWXA

pith:2011:GBX5TWXAH2CHRV3IXFUOEWHSRP

not attested not anchored not stored refs pending

Sufficient conditions for existence of solutions to vectorial differential inclusions

Ana Cristina Barroso (CMAF), Ana Ribeiro (CMAF), Gisella Croce (LMAH)

arxiv:1103.6102 v1 · 2011-03-31 · 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{GBX5TWXAH2CHRV3IXFUOEWHSRP}

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	2026-05-18T04:25:13.982126Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

306fd9dae03e8478d768b968e258f28be222a819a5df1cb477bbc17fbefe987b

Aliases

arxiv: 1103.6102 · arxiv_version: 1103.6102v1 · doi: 10.48550/arxiv.1103.6102 · pith_short_12: GBX5TWXAH2CH · pith_short_16: GBX5TWXAH2CHRV3I · pith_short_8: GBX5TWXA

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/GBX5TWXAH2CHRV3IXFUOEWHSRP \
  | 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: 306fd9dae03e8478d768b968e258f28be222a819a5df1cb477bbc17fbefe987b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1489e0c28f68175648d972a092fb095e8102a005056cf49edcd06502e7a1a754",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-31T06:56:23Z",
    "title_canon_sha256": "95bbfa6eb2f9a3274328a48d2adfe241aeafcc31573eb09dd6a58d0536f4d248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.6102",
    "kind": "arxiv",
    "version": 1
  }
}