Pith Number

pith:SHAVXKLX

pith:2013:SHAVXKLXIHO5FB6GQM33KSCK52

not attested not anchored not stored refs pending

Metric subregularity of the convex subdifferential in Banach spaces

Francisco J. Arag\'on Artacho, Michel H. Geoffroy

arxiv:1303.3654 v1 · 2013-03-15 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SHAVXKLXIHO5FB6GQM33KSCK52}

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	2026-05-18T01:37:38.243221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91c15ba97741ddd287c68337b5484aeebfdec7f661ee8e7b4aecb95577689f70

Aliases

arxiv: 1303.3654 · arxiv_version: 1303.3654v1 · doi: 10.48550/arxiv.1303.3654 · pith_short_12: SHAVXKLXIHO5 · pith_short_16: SHAVXKLXIHO5FB6G · pith_short_8: SHAVXKLX

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/SHAVXKLXIHO5FB6GQM33KSCK52 \
  | 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: 91c15ba97741ddd287c68337b5484aeebfdec7f661ee8e7b4aecb95577689f70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca838b87728aae23f215d90cf31b954a34ee11cf5636b02e31674a4a28a14d8b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2013-03-15T01:23:06Z",
    "title_canon_sha256": "811e58f46571b07fe1994d46e667008ed552b8d0882dd5940ee040634e67249e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3654",
    "kind": "arxiv",
    "version": 1
  }
}