Pith Number

pith:DEPDLKJO

pith:2015:DEPDLKJOQEDLKLM4O3ZREWNTJ4

not attested not anchored not stored refs pending

The integral representation of solutions of KZ equation and a modification by $\mathcal{K}$ operator insertion

Reiji Yoshioka

arxiv:1512.01084 v2 · 2015-12-03 · 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{DEPDLKJOQEDLKLM4O3ZREWNTJ4}

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	2026-05-18T01:24:23.980998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

191e35a92e8106b52d9c76f31259b34f14906a5a46173c737d5aaa6d148a5635

Aliases

arxiv: 1512.01084 · arxiv_version: 1512.01084v2 · doi: 10.48550/arxiv.1512.01084 · pith_short_12: DEPDLKJOQEDL · pith_short_16: DEPDLKJOQEDLKLM4 · pith_short_8: DEPDLKJO

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/DEPDLKJOQEDLKLM4O3ZREWNTJ4 \
  | 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: 191e35a92e8106b52d9c76f31259b34f14906a5a46173c737d5aaa6d148a5635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd65ee8a063c436954b01486b2af699d8e8333c1b16a9acc11f60d9c5417155f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2015-12-03T14:16:55Z",
    "title_canon_sha256": "8a4eac587c1e3a9cf13a433d91b6ac51a00be2c54ad8f96db2c806551c116f41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01084",
    "kind": "arxiv",
    "version": 2
  }
}