Pith Number

pith:RBZLOKNK

pith:2011:RBZLOKNKL44FE64OQFQOIO3AGI

not attested not anchored not stored refs pending

A "hidden" characterization of approximatively polyhedral convex sets in Banach spaces

Ivan Hetman, Taras Banakh

arxiv:1111.6708 v1 · 2011-11-29 · math.FA · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBZLOKNKL44FE64OQFQOIO3AGI}

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	2026-05-18T03:38:14.341547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8872b729aa5f38527b8e8160e43b60323ef3b05a8de833f79c6391de7e0b229d

Aliases

arxiv: 1111.6708 · arxiv_version: 1111.6708v1 · doi: 10.48550/arxiv.1111.6708 · pith_short_12: RBZLOKNKL44F · pith_short_16: RBZLOKNKL44FE64O · pith_short_8: RBZLOKNK

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/RBZLOKNKL44FE64OQFQOIO3AGI \
  | 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: 8872b729aa5f38527b8e8160e43b60323ef3b05a8de833f79c6391de7e0b229d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ed6b85bb2e461efb4b4ea9f8b0893c71b4256981177f42a985e6dda20efebc6",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-29T07:01:34Z",
    "title_canon_sha256": "71f7054833ad0629a10d4b35026d426ae1eeb378f0a73cde8fb35bb6df9c9116"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.6708",
    "kind": "arxiv",
    "version": 1
  }
}