Pith Number

pith:F3WCFR5N

pith:2011:F3WCFR5NWXDGIFBA2GF4RPI7LE

not attested not anchored not stored refs pending

Categorifying the Knizhnik-Zamolodchikov Connection

Jo\~ao Faria Martins, Lucio S. Cirio

arxiv:1106.0042 v3 · 2011-05-31 · hep-th · math.CT · 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{F3WCFR5NWXDGIFBA2GF4RPI7LE}

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	2026-05-18T00:44:10.506955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2eec22c7adb5c6641420d18bc8bd1f592c40dcfbb2660931757d8b4fd9a9662e

Aliases

arxiv: 1106.0042 · arxiv_version: 1106.0042v3 · doi: 10.48550/arxiv.1106.0042 · pith_short_12: F3WCFR5NWXDG · pith_short_16: F3WCFR5NWXDGIFBA · pith_short_8: F3WCFR5N

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/F3WCFR5NWXDGIFBA2GF4RPI7LE \
  | 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: 2eec22c7adb5c6641420d18bc8bd1f592c40dcfbb2660931757d8b4fd9a9662e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e015b5a1811d8945a17b0085ac1249def2d7fe511b3c8a67f22f1bd821348380",
    "cross_cats_sorted": [
      "math.CT",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-05-31T22:20:59Z",
    "title_canon_sha256": "5e846f3a512d07b60c2398f12b129391873d2c77c241440ea1d8d0dead9916e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0042",
    "kind": "arxiv",
    "version": 3
  }
}