Pith Number

pith:A7GADPSB

pith:2018:A7GADPSBFXEDTPL7XNYJTFIWMD

not attested not anchored not stored refs pending

Large $N$ phase transition in $T \overline{T}$-deformed $2d$ Yang-Mills theory on the sphere

Leonardo Santilli, Miguel Tierz

arxiv:1810.05404 v2 · 2018-10-12 · hep-th · 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{A7GADPSBFXEDTPL7XNYJTFIWMD}

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	2026-05-17T23:56:23.027499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07cc01be412dc839bd7fbb7099951660dc3c4b4e2c4ad1076d030fde2c2df488

Aliases

arxiv: 1810.05404 · arxiv_version: 1810.05404v2 · doi: 10.48550/arxiv.1810.05404 · pith_short_12: A7GADPSBFXED · pith_short_16: A7GADPSBFXEDTPL7 · pith_short_8: A7GADPSB

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/A7GADPSBFXEDTPL7XNYJTFIWMD \
  | 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: 07cc01be412dc839bd7fbb7099951660dc3c4b4e2c4ad1076d030fde2c2df488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44b91476d78f627e546412615f06c8543eb5c70bbd33f29cee68df16a33d2648",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2018-10-12T08:39:09Z",
    "title_canon_sha256": "c544b03ad8982dbf50e83018a90baa19766cfbc2873777614d721ac4e5ebc8b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.05404",
    "kind": "arxiv",
    "version": 2
  }
}