Pith Number

pith:3OWD5EKV

pith:2012:3OWD5EKVPQOWGCLXTYDO6FIITO

not attested not anchored not stored refs pending

Strongly adequate functions on Banach spaces

Constantin Zalinescu, Michel Volle

arxiv:1203.1145 v1 · 2012-03-06 · 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{3OWD5EKVPQOWGCLXTYDO6FIITO}

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	2026-05-18T04:00:48.706299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbac3e91557c1d6309779e06ef15089ba552800a4a5bfb02984dfc6300724ef8

Aliases

arxiv: 1203.1145 · arxiv_version: 1203.1145v1 · doi: 10.48550/arxiv.1203.1145 · pith_short_12: 3OWD5EKVPQOW · pith_short_16: 3OWD5EKVPQOWGCLX · pith_short_8: 3OWD5EKV

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/3OWD5EKVPQOWGCLXTYDO6FIITO \
  | 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: dbac3e91557c1d6309779e06ef15089ba552800a4a5bfb02984dfc6300724ef8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04825fe817a75d94728cffd3434ef9d42d20d87217aad894adbd55eefe1d6a65",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-06T09:30:55Z",
    "title_canon_sha256": "b61c1a9c1b16380cc5f09e6dbb4589e1f95fdcd402630a87dd7279319fbed3d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1145",
    "kind": "arxiv",
    "version": 1
  }
}