Pith Number

pith:LDKM3BB2

pith:2026:LDKM3BB2OVVN4ON3Z2AU6SZ63M

not attested not anchored not stored refs pending

Fixed points in de Finetti hierarchies

Gereon Kossmann, Julius A. Zeiss

arxiv:2607.23689 v1 · 2026-07-26 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LDKM3BB2OVVN4ON3Z2AU6SZ63M}

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	2026-07-28T01:23:05.730607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58d4cd843a756ade39bbce814f4b3edb0b4c9771b1b23fb4586017c0fd2812ba

Aliases

arxiv: 2607.23689 · arxiv_version: 2607.23689v1 · doi: 10.48550/arxiv.2607.23689 · pith_short_12: LDKM3BB2OVVN · pith_short_16: LDKM3BB2OVVN4ON3 · pith_short_8: LDKM3BB2

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/LDKM3BB2OVVN4ON3Z2AU6SZ63M \
  | 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: 58d4cd843a756ade39bbce814f4b3edb0b4c9771b1b23fb4586017c0fd2812ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e92b31b05abf04e42602dba9c3c0d091a8ecc92076d919270f1e523bd7db27d",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-26T14:35:48Z",
    "title_canon_sha256": "602a20a99ea1e959c0f96eb1afa3d852d2a5d681510dc65c9be952c1f90d108e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.23689",
    "kind": "arxiv",
    "version": 1
  }
}