Pith Number

pith:B7VU56PX

pith:2019:B7VU56PXX2CKNSBS6DRF7N7LZB

not attested not anchored not stored refs pending

Subleading corrections to the free energy in a theory with $N^{5/3}$ scaling

James T. Liu, Yifan Lu

arxiv:1912.04722 v2 · 2019-12-10 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7VU56PXX2CKNSBS6DRF7N7LZB}

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.

Cited by

1 paper in Pith

An Airy Tale at Large $N$

Receipt and verification

First computed	2026-07-05T01:55:44.738627Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0feb4ef9f7be84a6c832f0e25fb7ebc87e1de02ae704d56689af965432f54eaa

Aliases

arxiv: 1912.04722 · arxiv_version: 1912.04722v2 · doi: 10.48550/arxiv.1912.04722 · pith_short_12: B7VU56PXX2CK · pith_short_16: B7VU56PXX2CKNSBS · pith_short_8: B7VU56PX

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/B7VU56PXX2CKNSBS6DRF7N7LZB \
  | 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: 0feb4ef9f7be84a6c832f0e25fb7ebc87e1de02ae704d56689af965432f54eaa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f5d84431a7c8970c48e7f4ea80f30983a15b2a69ab5a3c4448f71cab7b7c0069",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-10T14:47:57Z",
    "title_canon_sha256": "a1c742a5b779d4abbf5a2dd155972980a020eb3f8756d27f75896a299f4f43c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.04722",
    "kind": "arxiv",
    "version": 2
  }
}