Pith Number

pith:5S4BITHF

pith:2010:5S4BITHFHYWRSMIHB5LDSDRFE6

not attested not anchored not stored refs pending

Fisher's zeros as boundary of renormalization group flows in complex coupling spaces

A. Denbleyker, Daping Du, Haiyuan Zou, Y. Meurice, Yuzhi Liu

arxiv:1005.1993 v1 · 2010-05-12 · hep-lat · cond-mat.stat-mech · 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{5S4BITHFHYWRSMIHB5LDSDRFE6}

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	2026-05-18T02:24:08.136037Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ecb8144ce53e2d1931070f56390e2527835678992f3577d3c3b62eca6e31072a

Aliases

arxiv: 1005.1993 · arxiv_version: 1005.1993v1 · doi: 10.48550/arxiv.1005.1993 · pith_short_12: 5S4BITHFHYWR · pith_short_16: 5S4BITHFHYWRSMIH · pith_short_8: 5S4BITHF

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/5S4BITHFHYWRSMIHB5LDSDRFE6 \
  | 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: ecb8144ce53e2d1931070f56390e2527835678992f3577d3c3b62eca6e31072a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b62fef5a9b1d1da32eb7caeee92b19417281faab079e20620b1b756410ec991d",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2010-05-12T05:54:35Z",
    "title_canon_sha256": "159ea15aaa41cfc2bbcd51b156cb90175c0a32c4f7f307f7a917f2171c13c739"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1993",
    "kind": "arxiv",
    "version": 1
  }
}