Pith Number

pith:2FAQMIKE

pith:2019:2FAQMIKE5MOGU5QCQO3EN2VB4L

not attested not anchored not stored refs pending

On some local Bishop-Phelps-Bollob\'as properties

Han Ju Lee, Martin Mazzitelli, Sheldon Dantas, Sun Kwang Kim

arxiv:1905.13552 v1 · 2019-05-31 · 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{2FAQMIKE5MOGU5QCQO3EN2VB4L}

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	2026-05-17T23:44:34.592036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d141062144eb1c6a760283b646eaa1e2d0de43ac00492971f6adf7e2cf42ae5f

Aliases

arxiv: 1905.13552 · arxiv_version: 1905.13552v1 · doi: 10.48550/arxiv.1905.13552 · pith_short_12: 2FAQMIKE5MOG · pith_short_16: 2FAQMIKE5MOGU5QC · pith_short_8: 2FAQMIKE

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/2FAQMIKE5MOGU5QCQO3EN2VB4L \
  | 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: d141062144eb1c6a760283b646eaa1e2d0de43ac00492971f6adf7e2cf42ae5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccdfff4f70a1bc349f6395ef08768461e0cb423936d81640a4f8029d358e586b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2019-05-31T12:16:37Z",
    "title_canon_sha256": "b8126ff0600d705b3cd9889a6ae602dda705df1f6c0f0502d7c5f3b8456db002"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.13552",
    "kind": "arxiv",
    "version": 1
  }
}