Pith Number

pith:KOYTY5NC

pith:2014:KOYTY5NCZSPV4BVGRAUN3LYYGF

not attested not anchored not stored refs pending

Two refinements of the Bishop-Phelps-Bollob\'as modulus

Javier Meri, Mariia Soloviova, Mario Chica, Miguel Martin, Vladimir Kadets

arxiv:1410.5570 v2 · 2014-10-21 · 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{KOYTY5NCZSPV4BVGRAUN3LYYGF}

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	2026-05-18T00:45:54.663902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53b13c75a2cc9f5e06a68828ddaf1831689ed88aaa100cf0c498b8397e8a420f

Aliases

arxiv: 1410.5570 · arxiv_version: 1410.5570v2 · doi: 10.48550/arxiv.1410.5570 · pith_short_12: KOYTY5NCZSPV · pith_short_16: KOYTY5NCZSPV4BVG · pith_short_8: KOYTY5NC

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/KOYTY5NCZSPV4BVGRAUN3LYYGF \
  | 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: 53b13c75a2cc9f5e06a68828ddaf1831689ed88aaa100cf0c498b8397e8a420f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cb98c23ddacb9e47545a20bbfb7b72c3454773608dc577d09f8a4b1da12fe13",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2014-10-21T08:18:09Z",
    "title_canon_sha256": "389dbb8c43ccf515a2abc485f9b91b81326165118b280dfcda89c8794f19cd5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.5570",
    "kind": "arxiv",
    "version": 2
  }
}