Pith Number

pith:E7MZ7D4F

pith:2016:E7MZ7D4F5XZJPJ5OR6FGBOTMZL

not attested not anchored not stored refs pending

Factorization of differential expansion for non-rectangular representations

A. Morozov

arxiv:1612.00422 v3 · 2016-12-01 · hep-th · math-ph · math.GT · 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{E7MZ7D4F5XZJPJ5OR6FGBOTMZL}

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.

Cited by

1 paper in Pith

Bipartite expansion beyond biparticity

Receipt and verification

First computed	2026-05-18T00:17:35.684154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

27d99f8f85edf297a7ae8f8a60ba6ccae8116437acb6da8840510d4de7cf729d

Aliases

arxiv: 1612.00422 · arxiv_version: 1612.00422v3 · doi: 10.48550/arxiv.1612.00422 · pith_short_12: E7MZ7D4F5XZJ · pith_short_16: E7MZ7D4F5XZJPJ5O · pith_short_8: E7MZ7D4F

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/E7MZ7D4F5XZJPJ5OR6FGBOTMZL \
  | 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: 27d99f8f85edf297a7ae8f8a60ba6ccae8116437acb6da8840510d4de7cf729d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bb7f1d1ac97088e6f97c34e622230cab57c3599f0f5affadd9d5802cdd619dd",
    "cross_cats_sorted": [
      "math-ph",
      "math.GT",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-12-01T20:39:45Z",
    "title_canon_sha256": "a3f74d43e406396ff731e5824ceb562c774021bb69f881d67eaeb85b8111545f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.00422",
    "kind": "arxiv",
    "version": 3
  }
}