Pith Number

pith:U2WQ4HES

pith:2013:U2WQ4HESYSAHICQJ5X6DZCVJJK

not attested not anchored not stored refs pending

Indeterminacy of the moment problem for symmetric probability measures

Hayato Saigo, Hiroki Sako

arxiv:1302.0382 v5 · 2013-02-02 · 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{U2WQ4HESYSAHICQJ5X6DZCVJJK}

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	2026-05-18T02:25:05.180799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ad0e1c92c480740a09edfc3c8aa94a8cd656f60e0c768601b23f31abf18415

Aliases

arxiv: 1302.0382 · arxiv_version: 1302.0382v5 · doi: 10.48550/arxiv.1302.0382 · pith_short_12: U2WQ4HESYSAH · pith_short_16: U2WQ4HESYSAHICQJ · pith_short_8: U2WQ4HES

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/U2WQ4HESYSAHICQJ5X6DZCVJJK \
  | 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: a6ad0e1c92c480740a09edfc3c8aa94a8cd656f60e0c768601b23f31abf18415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "538eec02430bb7cd62bfd25cbb56eba0011da07e6cf467f073bcd7c768764a19",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-02-02T13:59:14Z",
    "title_canon_sha256": "5586b555433cffba2a8eeeb7d284925463eed74218ab80f245b526722721cd80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0382",
    "kind": "arxiv",
    "version": 5
  }
}