Pith Number

pith:6KA4SHIY

pith:2026:6KA4SHIYR4IRHCCULULUAEVLMK

not attested not anchored not stored refs pending

Every PPT channel has finite entanglement-breaking index

Sang-Jun Park

arxiv:2608.13551 v1 · 2026-08-13 · quant-ph · math-ph · math.MP · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6KA4SHIYR4IRHCCULULUAEVLMK}

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	2026-08-14T01:25:02.958467Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f281c91d188f111388545d174012ab62bd0492eb2d4b606672c4c722eb106d8e

Aliases

arxiv: 2608.13551 · arxiv_version: 2608.13551v1 · doi: 10.48550/arxiv.2608.13551 · pith_short_12: 6KA4SHIYR4IR · pith_short_16: 6KA4SHIYR4IRHCCU · pith_short_8: 6KA4SHIY

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/6KA4SHIYR4IRHCCULULUAEVLMK \
  | 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: f281c91d188f111388545d174012ab62bd0492eb2d4b606672c4c722eb106d8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e79c0e96920782c1392add74c0e2972bd597504e207f1a6ba377e85edf14883",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.OA"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-08-13T17:59:28Z",
    "title_canon_sha256": "cda55fa364d3ad0a489fa5ac8494905408b44e63c0f3961dc81753f5c9648209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.13551",
    "kind": "arxiv",
    "version": 1
  }
}