Pith Number

pith:FNBHLQG7

pith:2011:FNBHLQG7H25YSWBZKPUXKTFZMD

not attested not anchored not stored refs pending

Connection Problem of Knizhnik-Zamolodchikov Equation on Moduli Space ${\mathcal M}_{0,5}$

Kimio Ueno, Shu Oi

arxiv:1109.0715 v2 · 2011-09-04 · math.QA · math.AG · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FNBHLQG7H25YSWBZKPUXKTFZMD}

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	2026-05-18T04:10:56.353621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b4275c0df3ebb89583953e9754cb960c9c18fbb7cf0f76c68bc8b74baf74089

Aliases

arxiv: 1109.0715 · arxiv_version: 1109.0715v2 · doi: 10.48550/arxiv.1109.0715 · pith_short_12: FNBHLQG7H25Y · pith_short_16: FNBHLQG7H25YSWBZ · pith_short_8: FNBHLQG7

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/FNBHLQG7H25YSWBZKPUXKTFZMD \
  | 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: 2b4275c0df3ebb89583953e9754cb960c9c18fbb7cf0f76c68bc8b74baf74089

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4487c15d8d94e401b662474c89dcd673fff014ab8ec70bd0c39bc488a0890c5a",
    "cross_cats_sorted": [
      "math.AG",
      "math.CA",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2011-09-04T14:00:15Z",
    "title_canon_sha256": "730c7d11d2e95d4df0b29ea5cc23cb172b92de6e0c348cd23a0ac49c4d5ec5ec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0715",
    "kind": "arxiv",
    "version": 2
  }
}