Pith Number

pith:FAIOP65L

pith:2015:FAIOP65L5ULL42IH7G2R7DHTYJ

not attested not anchored not stored refs pending

Sidonicity and variants of Kaczmarz's problem

Jean Bourgain, Mark Lewko

arxiv:1504.05290 v3 · 2015-04-21 · math.CA · math.FA · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FAIOP65L5ULL42IH7G2R7DHTYJ}

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	2026-05-18T01:10:15.203120Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2810e7fbabed16be6907f9b51f8cf3c2434bec91d0fc624637c4c4d3c04160a5

Aliases

arxiv: 1504.05290 · arxiv_version: 1504.05290v3 · doi: 10.48550/arxiv.1504.05290 · pith_short_12: FAIOP65L5ULL · pith_short_16: FAIOP65L5ULL42IH · pith_short_8: FAIOP65L

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/FAIOP65L5ULL42IH7G2R7DHTYJ \
  | 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: 2810e7fbabed16be6907f9b51f8cf3c2434bec91d0fc624637c4c4d3c04160a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c199e00d55318cc9cf9badac397f9ef659c4933b71666f1069e969069f6e940",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-04-21T03:40:49Z",
    "title_canon_sha256": "4643ec75b6fd9218a1a203f25889cb5781a032ef8c905aa9eb9a0399e5997e7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.05290",
    "kind": "arxiv",
    "version": 3
  }
}