Pith Number

pith:WRCSGMLN

pith:2026:WRCSGMLNUXKZTXKMQFUQ3R7VSE

not attested not anchored not stored refs pending

On metric characterizations of tree and fragmentability indices of Banach spaces

Antonin Proch\'azka, Estelle Basset, Gilles Lancien

arxiv:2605.28311 v1 · 2026-05-27 · math.FA · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WRCSGMLNUXKZTXKMQFUQ3R7VSE}

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	2026-05-28T01:05:06.077820Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b44523316da5d599dd4c81690dc7f5913f35ac5d3dbc1983c7b1ae278167bd2c

Aliases

arxiv: 2605.28311 · arxiv_version: 2605.28311v1 · doi: 10.48550/arxiv.2605.28311 · pith_short_12: WRCSGMLNUXKZ · pith_short_16: WRCSGMLNUXKZTXKM · pith_short_8: WRCSGMLN

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/WRCSGMLNUXKZTXKMQFUQ3R7VSE \
  | 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: b44523316da5d599dd4c81690dc7f5913f35ac5d3dbc1983c7b1ae278167bd2c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d9a6ee2a9b8a00792c48f86e69e745614799643a24113ce594e4d81c1351edb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2026-05-27T11:13:43Z",
    "title_canon_sha256": "6e85e052c344c0b64ab46ca43240920f236c74ca13884df93c6998a27aa0fc7e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.28311",
    "kind": "arxiv",
    "version": 1
  }
}