Pith Number

pith:LL42AOOP

pith:2015:LL42AOOPSGZE5SAI2CTGGLPHMJ

not attested not anchored not stored refs pending

Recovering measures from approximate values on balls

Blanche Buet, Gian Paolo Leonardi

arxiv:1510.02793 v1 · 2015-10-09 · 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{LL42AOOPSGZE5SAI2CTGGLPHMJ}

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	2026-05-18T01:30:33.757769Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5af9a039cf91b24ec808d0a6632de76269793ffe87c39bdcb19509c33e5995ee

Aliases

arxiv: 1510.02793 · arxiv_version: 1510.02793v1 · doi: 10.48550/arxiv.1510.02793 · pith_short_12: LL42AOOPSGZE · pith_short_16: LL42AOOPSGZE5SAI · pith_short_8: LL42AOOP

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/LL42AOOPSGZE5SAI2CTGGLPHMJ \
  | 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: 5af9a039cf91b24ec808d0a6632de76269793ffe87c39bdcb19509c33e5995ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c28806d34cb596325a02a458850fe24bca9d5b76bd858c885d0b391fa09640c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-10-09T11:47:10Z",
    "title_canon_sha256": "10cf17707ce69629c1fb3ba271ed982b4ba5b5b6ff77c6f9201029344853e1b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02793",
    "kind": "arxiv",
    "version": 1
  }
}