Pith Number

pith:HUS2PH34

pith:2013:HUS2PH34XPUE6WY3CKXLMPP6OQ

not attested not anchored not stored refs pending

Equilateral sets in uniformly smooth Banach spaces

B. Sari, D. Freeman, E. Odell, Th. Schlumprecht

arxiv:1305.6750 v1 · 2013-05-29 · 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{HUS2PH34XPUE6WY3CKXLMPP6OQ}

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	2026-05-17T23:53:35.592194Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d25a79f7cbbe84f5b1b12aeb63dfe742a1f7709643eeee10b0e59575ddcd39a

Aliases

arxiv: 1305.6750 · arxiv_version: 1305.6750v1 · doi: 10.48550/arxiv.1305.6750 · pith_short_12: HUS2PH34XPUE · pith_short_16: HUS2PH34XPUE6WY3 · pith_short_8: HUS2PH34

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/HUS2PH34XPUE6WY3CKXLMPP6OQ \
  | 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: 3d25a79f7cbbe84f5b1b12aeb63dfe742a1f7709643eeee10b0e59575ddcd39a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0615ee2f4f370fb9703e564df5c597738dd1a3f5ea276e57386601627366613",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-29T10:18:34Z",
    "title_canon_sha256": "3835c0dd5190dba35eb9e04cd67d24474113238c0eb6315d38f054c1013b7f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6750",
    "kind": "arxiv",
    "version": 1
  }
}