Pith Number

pith:LOO5PRLY

pith:2026:LOO5PRLY6ORZ4RAD2AVYLERLYU

not attested not anchored not stored refs pending

Shadow Completion in Celestial OPEs

Reiko Liu, Wen-Jie Ma, Zijian Liu

arxiv:2606.20433 v1 · 2026-06-18 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LOO5PRLY6ORZ4RAD2AVYLERLYU}

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	2026-06-19T16:13:12.310575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5b9dd7c578f3a39e4403d02b85922bc53b5102bb86777abcb69e2309d81bb5df

Aliases

arxiv: 2606.20433 · arxiv_version: 2606.20433v1 · doi: 10.48550/arxiv.2606.20433 · pith_short_12: LOO5PRLY6ORZ · pith_short_16: LOO5PRLY6ORZ4RAD · pith_short_8: LOO5PRLY

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/LOO5PRLY6ORZ4RAD2AVYLERLYU \
  | 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: 5b9dd7c578f3a39e4403d02b85922bc53b5102bb86777abcb69e2309d81bb5df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b3e689d129ce622c5ba1e62fd696a3bbadb38c22956590b201b5712c25e300",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-06-18T16:11:22Z",
    "title_canon_sha256": "381652528136ff5e3c0e95e654627b43f695c7ede978f876680f3fa3b0aa88c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.20433",
    "kind": "arxiv",
    "version": 1
  }
}