Pith Number

pith:CCXUMKAZ

pith:2026:CCXUMKAZAVP5BPSVF5TKKGE5TG

not attested not anchored not stored refs pending

On probabilistic ill-posedness

Nikolay Tzvetkov, Tadahiro Oh

arxiv:2607.07628 v1 · 2026-07-08 · math.AP · 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{CCXUMKAZAVP5BPSVF5TKKGE5TG}

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	2026-07-09T01:20:37.214601Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

10af462819055fd0be552f66a5189d99ad833d434f808ec86cd319681d22da1a

Aliases

arxiv: 2607.07628 · arxiv_version: 2607.07628v1 · doi: 10.48550/arxiv.2607.07628 · pith_short_12: CCXUMKAZAVP5 · pith_short_16: CCXUMKAZAVP5BPSV · pith_short_8: CCXUMKAZ

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/CCXUMKAZAVP5BPSVF5TKKGE5TG \
  | 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: 10af462819055fd0be552f66a5189d99ad833d434f808ec86cd319681d22da1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23cbdff8b211f264ab06fb6d3d4bb5491244ba0799926c667072dd38835cf6f",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-07-08T16:43:59Z",
    "title_canon_sha256": "959a3c2376d2bc80376c77115d4a7acea82cbfca67a2bbb7bc76cb9fc8a176d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.07628",
    "kind": "arxiv",
    "version": 1
  }
}