Pith Number

pith:FEZCX3BV

pith:2025:FEZCX3BVUOO4UJKXM72MEZISZO

not attested not anchored not stored refs pending

Mixed States Uniquely Determined by Marginals and Additivity

Delin Chu, Genwei Li, Lin Chen, Xinyu Qiu

arxiv:2512.20133 v3 · 2025-12-23 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FEZCX3BVUOO4UJKXM72MEZISZO}

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	2026-06-09T01:04:40.541280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29322bec35a39dca255767f4c26512cb9014762e035dfcd7fb363dde9b69172f

Aliases

arxiv: 2512.20133 · arxiv_version: 2512.20133v3 · doi: 10.48550/arxiv.2512.20133 · pith_short_12: FEZCX3BVUOO4 · pith_short_16: FEZCX3BVUOO4UJKX · pith_short_8: FEZCX3BV

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/FEZCX3BVUOO4UJKXM72MEZISZO \
  | 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: 29322bec35a39dca255767f4c26512cb9014762e035dfcd7fb363dde9b69172f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6660525de4682a74868039046410f0f43cfa7a9bb651ad20cfd6f259fdff8287",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2025-12-23T07:51:55Z",
    "title_canon_sha256": "cf550acac41980548a78d63fd7b4f8c3d20b2c5cfead3104ae528fc22c3716cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.20133",
    "kind": "arxiv",
    "version": 3
  }
}