Pith Number

pith:HIHG32HB

pith:2019:HIHG32HBAJFYEQOTOZTRQYGIEN

not attested not anchored not stored refs pending

Phase transition of four-dimensional Ising model with higher-order tensor renormalization group

Shinichiro Akiyama, Takumi Yamashita, Yoshinobu Kuramashi, Yusuke Yoshimura

arxiv:1906.06060 v2 · 2019-06-14 · hep-lat

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HIHG32HBAJFYEQOTOZTRQYGIEN}

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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

2 papers in Pith

Multi-particle states investigation with tensor renormalization group method

Tensor renormalization group approach to critical phenomena via symmetry-twisted partition functions

Receipt and verification

First computed	2026-07-05T00:06:09.123613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a0e6de8e1024b8241d376671860c823686c5775b9d510a965084e497a519ed6

Aliases

arxiv: 1906.06060 · arxiv_version: 1906.06060v2 · doi: 10.48550/arxiv.1906.06060 · pith_short_12: HIHG32HBAJFY · pith_short_16: HIHG32HBAJFYEQOT · pith_short_8: HIHG32HB

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/HIHG32HBAJFYEQOTOZTRQYGIEN \
  | 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: 3a0e6de8e1024b8241d376671860c823686c5775b9d510a965084e497a519ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "208b898ca7af0bcd6c84adafbc965a622940caa6374eeb634d138c2b66c49dd0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2019-06-14T07:49:15Z",
    "title_canon_sha256": "b1659c534d61726e2f97af116ebc7ee7d8e739f6c9227f0862329408aec86612"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06060",
    "kind": "arxiv",
    "version": 2
  }
}