Pith Number

pith:J4UGC3E5

pith:2011:J4UGC3E5HUPK3K2PRM24VDE7M5

not attested not anchored not stored refs pending

Moreau's Decomposition in Banach Spaces

Noli N. Reyes, Patrick L. Combettes

arxiv:1103.3178 v2 · 2011-03-16 · 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{J4UGC3E5HUPK3K2PRM24VDE7M5}

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	2026-05-18T04:23:20.959812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f28616c9d3d1eadab4f8b35ca8c9f675b69046e5f13c7bafa3f4b6f9ff16acc

Aliases

arxiv: 1103.3178 · arxiv_version: 1103.3178v2 · doi: 10.48550/arxiv.1103.3178 · pith_short_12: J4UGC3E5HUPK · pith_short_16: J4UGC3E5HUPK3K2P · pith_short_8: J4UGC3E5

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/J4UGC3E5HUPK3K2PRM24VDE7M5 \
  | 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: 4f28616c9d3d1eadab4f8b35ca8c9f675b69046e5f13c7bafa3f4b6f9ff16acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "981977a80b32b2258fca4c77d18e536c460ec2c6b466c286e6906564b669fc57",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-03-16T14:23:36Z",
    "title_canon_sha256": "cd77c35ca4e4024b09110555e9744246abeedf7c023798ba8bf594f54d110586"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3178",
    "kind": "arxiv",
    "version": 2
  }
}