Pith Number

pith:F4RV6I5B

pith:2010:F4RV6I5B2O6Y6OJL2SAA4OJD43

not attested not anchored not stored refs pending

Logarithmic tensor category theory, V: Convergence condition for intertwining maps and the corresponding compatibility condition

James Lepowsky, Lin Zhang, Yi-Zhi Huang

arxiv:1012.4199 v3 · 2010-12-19 · math.QA · hep-th · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4RV6I5B2O6Y6OJL2SAA4OJD43}

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	2026-05-18T03:55:56.233568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f235f23a1d3bd8f392bd4800e3923e6c12317ec698b43f2b58a725eed2cd8e8

Aliases

arxiv: 1012.4199 · arxiv_version: 1012.4199v3 · doi: 10.48550/arxiv.1012.4199 · pith_short_12: F4RV6I5B2O6Y · pith_short_16: F4RV6I5B2O6Y6OJL · pith_short_8: F4RV6I5B

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/F4RV6I5B2O6Y6OJL2SAA4OJD43 \
  | 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: 2f235f23a1d3bd8f392bd4800e3923e6c12317ec698b43f2b58a725eed2cd8e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c98a6b168ef620ea7995245acf75a90a09945c04f418072990f3f802bb7b35f",
    "cross_cats_sorted": [
      "hep-th",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2010-12-19T19:20:47Z",
    "title_canon_sha256": "4b041fed96b934286839a43dba68a81c88b4b3da5fdaaba9186bb32a9ef96acb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4199",
    "kind": "arxiv",
    "version": 3
  }
}