Pith Number

pith:I2CF7F74

pith:2019:I2CF7F74LZRHB7YY3MQLXCAEE6

not attested not anchored not stored refs pending

The separable Jung constant in Banach spaces

Jes\'us M. F. Castillo, Pierluigi Papini

arxiv:1910.02402 v2 · 2019-10-06 · 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{I2CF7F74LZRHB7YY3MQLXCAEE6}

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.

Cited by

1 paper in Pith

Towards Learning Representations of Policies in Two-Player Zero-Sum Imperfect-Information Games

Receipt and verification

First computed	2026-07-05T00:59:54.225930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46845f97fc5e6270ff18db20bb880427944aafaa14e27379bfe6b0f35ecaa53b

Aliases

arxiv: 1910.02402 · arxiv_version: 1910.02402v2 · doi: 10.48550/arxiv.1910.02402 · pith_short_12: I2CF7F74LZRH · pith_short_16: I2CF7F74LZRHB7YY · pith_short_8: I2CF7F74

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/I2CF7F74LZRHB7YY3MQLXCAEE6 \
  | 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: 46845f97fc5e6270ff18db20bb880427944aafaa14e27379bfe6b0f35ecaa53b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0a78e00b203f79328eec7ca40f322446fc71241c9baaf14c29fd23c9d5e68e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-10-06T09:33:31Z",
    "title_canon_sha256": "b43041dbe3c12491299183d5cc89fe7146230057b2766dd40b2a77fd6811090a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.02402",
    "kind": "arxiv",
    "version": 2
  }
}