Pith Number

pith:YASOZPZ7

pith:2016:YASOZPZ7QRZKNE45HMA7KPJEPC

not attested not anchored not stored refs pending

The strong Bishop-Phelps-Bollob\'as property

Sheldon Dantas

arxiv:1604.01461 v1 · 2016-04-06 · 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{YASOZPZ7QRZKNE45HMA7KPJEPC}

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	2026-05-18T01:17:36.328939Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c024ecbf3f8472a6939d3b01f53d2478a354459a7b06ad56ed36afd1387584a3

Aliases

arxiv: 1604.01461 · arxiv_version: 1604.01461v1 · doi: 10.48550/arxiv.1604.01461 · pith_short_12: YASOZPZ7QRZK · pith_short_16: YASOZPZ7QRZKNE45 · pith_short_8: YASOZPZ7

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/YASOZPZ7QRZKNE45HMA7KPJEPC \
  | 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: c024ecbf3f8472a6939d3b01f53d2478a354459a7b06ad56ed36afd1387584a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "77e863f1e6c1ecb6b778185a05770f7e2fc016e7929dfe76605f8de0774d373a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-04-06T01:28:01Z",
    "title_canon_sha256": "30d66e1e47a94604f418c46c4e78d0792ef839680f8846275c6a8102363bd1e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.01461",
    "kind": "arxiv",
    "version": 1
  }
}