Pith Number

pith:ZOTFRQZO

pith:2019:ZOTFRQZOIKZW6CE2FRGLJFWU4G

not attested not anchored not stored refs pending

Entanglement entropy and the large $N$ expansion of two-dimensional Yang-Mills theory

Nicol\'as Vald\'es-Meller, Sydney Timmerman, William Donnelly

arxiv:1911.09302 v1 · 2019-11-21 · hep-th · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZOTFRQZOIKZW6CE2FRGLJFWU4G}

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	2026-07-05T01:04:07.525945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cba658c32e42b36f089a2c4cb496d4e1807fa295c20f2eba931207ee9f55f304

Aliases

arxiv: 1911.09302 · arxiv_version: 1911.09302v1 · doi: 10.48550/arxiv.1911.09302 · pith_short_12: ZOTFRQZOIKZW · pith_short_16: ZOTFRQZOIKZW6CE2 · pith_short_8: ZOTFRQZO

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/ZOTFRQZOIKZW6CE2FRGLJFWU4G \
  | 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: cba658c32e42b36f089a2c4cb496d4e1807fa295c20f2eba931207ee9f55f304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bbc6fc094ece0e192473ed9ef16cfaa03ca541de0d810a9e474c2681fd4439c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-11-21T06:01:10Z",
    "title_canon_sha256": "13c22e1fb32b52f9a23272351c1da10418d686da09afe5c82e54fe8c9f6ac9c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.09302",
    "kind": "arxiv",
    "version": 1
  }
}