Pith Number

pith:DODC7TDI

pith:2013:DODC7TDIGHZPXFXW2FHB6AJBDA

not attested not anchored not stored refs pending

On an isomorphic Banach-Mazur rotation problem and maximal norms in Banach spaces

B. Randrianantoanina, S. J. Dilworth

arxiv:1310.7139 v3 · 2013-10-26 · 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{DODC7TDIGHZPXFXW2FHB6AJBDA}

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	2026-05-18T02:28:40.835996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b862fcc6831f2fb96f6d14e1f0121182cdba90e1c294a986aca96a03896902c

Aliases

arxiv: 1310.7139 · arxiv_version: 1310.7139v3 · doi: 10.48550/arxiv.1310.7139 · pith_short_12: DODC7TDIGHZP · pith_short_16: DODC7TDIGHZPXFXW · pith_short_8: DODC7TDI

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/DODC7TDIGHZPXFXW2FHB6AJBDA \
  | 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: 1b862fcc6831f2fb96f6d14e1f0121182cdba90e1c294a986aca96a03896902c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8d38c120a150a098d3f544c0a189cd380c0130df27bfbf6ea678a6f009c898f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-10-26T18:15:43Z",
    "title_canon_sha256": "a347744f19b9708a53722ef860c669c439e2414c6117a15723ad76110d8d83ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.7139",
    "kind": "arxiv",
    "version": 3
  }
}