Pith Number

pith:YXBLVKV7

pith:2009:YXBLVKV7B4G3MTTVSLU2JDMCWU

not attested not anchored not stored refs pending

On the monoidal structure of matrix bi-factorisations

Ingo Runkel, Nils Carqueville

arxiv:0909.4381 v3 · 2009-09-24 · 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{YXBLVKV7B4G3MTTVSLU2JDMCWU}

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	2026-05-18T02:34:27.855716Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5c2baaabf0f0db64e7592e9a48d82b50457dbe8a7b39231e30bc2d921ca6ee9

Aliases

arxiv: 0909.4381 · arxiv_version: 0909.4381v3 · doi: 10.48550/arxiv.0909.4381 · pith_short_12: YXBLVKV7B4G3 · pith_short_16: YXBLVKV7B4G3MTTV · pith_short_8: YXBLVKV7

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/YXBLVKV7B4G3MTTVSLU2JDMCWU \
  | 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: c5c2baaabf0f0db64e7592e9a48d82b50457dbe8a7b39231e30bc2d921ca6ee9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "977b0f49dbd51f66d4b508a28ea3d907059cc4ffafe79cb4b250405911e6ed26",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-09-24T08:02:11Z",
    "title_canon_sha256": "fd2c333d2acc68ac38b51e24675543b10ccaa240e432ec150bb5074bc084e9cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4381",
    "kind": "arxiv",
    "version": 3
  }
}