Pith Number

pith:PFJQDGUI

pith:2000:PFJQDGUIRSYWBIECG2LYUYF7EQ

not attested not anchored not stored refs pending

A relation between the Knizhnik--Zamolodchikov and Belavin--Polyakov--Zamolodchikov systems of partial differential equations

A.V. Stoyanovsky

arxiv:math-ph/0012013 v4 · 2000-12-07 · math-ph · hep-th · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFJQDGUIRSYWBIECG2LYUYF7EQ}

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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.

Cited by

1 paper in Pith

MHV leaf amplitudes from parafermions

Receipt and verification

First computed	2026-07-04T14:33:37.485123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7953019a888cb160a08236978a60bf24040903b6575516980eab2441954b5f81

Aliases

arxiv: math-ph/0012013 · arxiv_version: math-ph/0012013v4 · doi: 10.48550/arxiv.math-ph/0012013 · pith_short_12: PFJQDGUIRSYW · pith_short_16: PFJQDGUIRSYWBIEC · pith_short_8: PFJQDGUI

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/PFJQDGUIRSYWBIECG2LYUYF7EQ \
  | 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: 7953019a888cb160a08236978a60bf24040903b6575516980eab2441954b5f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4602e00bf612d6e4416ddfd7bd73584d8a9a51bcc421d8ee42160d63437a4913",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2000-12-07T18:19:51Z",
    "title_canon_sha256": "a99ef6bbccdb91fb3be3550351f43cc6a7ebc1e9e2fa2b4aa7188b2bb6eb8df0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0012013",
    "kind": "arxiv",
    "version": 4
  }
}