Pith Number

pith:4EBXUSYN

pith:2011:4EBXUSYNACXO4LNGA4LXPS2XC6

not attested not anchored not stored refs pending

Toeplitz operators in TQFT via skein theory

Julien March\'e (CMLS-EcolePolytechnique), Thierry Paul (CMLS-EcolePolytechnique)

arxiv:1108.0629 v2 · 2011-08-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4EBXUSYNACXO4LNGA4LXPS2XC6}

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	2026-05-18T04:01:13.104076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1037a4b0d00aeee2da6071777cb571787508d3bf5436a61e10a8340388fe802

Aliases

arxiv: 1108.0629 · arxiv_version: 1108.0629v2 · doi: 10.48550/arxiv.1108.0629 · pith_short_12: 4EBXUSYNACXO · pith_short_16: 4EBXUSYNACXO4LNG · pith_short_8: 4EBXUSYN

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/4EBXUSYNACXO4LNGA4LXPS2XC6 \
  | 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: e1037a4b0d00aeee2da6071777cb571787508d3bf5436a61e10a8340388fe802

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5173dffd1b7f6603885650f13cf102894e997c6adc7bd16c4d78f92494a0327",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-02T17:31:40Z",
    "title_canon_sha256": "57413c4a2be361e3eda263ca0b362d528ce3cf6858b9e560210c3dbe51656603"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0629",
    "kind": "arxiv",
    "version": 2
  }
}