Pith Number

pith:6UQI7P6Z

pith:2021:6UQI7P6ZRBETPYOMXEGHCDZVAI

not attested not anchored not stored refs pending

Phase transition of four-dimensional lattice $\phi^4$ theory with tensor renormalization group

Shinichiro Akiyama, Yoshinobu Kuramashi, Yusuke Yoshimura

arxiv:2101.06953 v2 · 2021-01-18 · hep-lat · hep-ph · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6UQI7P6ZRBETPYOMXEGHCDZVAI}

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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

1 paper in Pith

Multi-particle states investigation with tensor renormalization group method

Receipt and verification

First computed	2026-07-05T03:10:01.757551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f5208fbfd9884937e1ccb90c710f350230ccb658e716e80c42a576fec6113306

Aliases

arxiv: 2101.06953 · arxiv_version: 2101.06953v2 · doi: 10.48550/arxiv.2101.06953 · pith_short_12: 6UQI7P6ZRBET · pith_short_16: 6UQI7P6ZRBETPYOM · pith_short_8: 6UQI7P6Z

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/6UQI7P6ZRBETPYOMXEGHCDZVAI \
  | 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: f5208fbfd9884937e1ccb90c710f350230ccb658e716e80c42a576fec6113306

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f75f4eb4d95df1a1025616556040466a966d847b13b62ade5ec4f4712d6bf3f8",
    "cross_cats_sorted": [
      "hep-ph",
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2021-01-18T09:29:30Z",
    "title_canon_sha256": "dfd555f76e911869c37488a278e1a12ae39986e327f4bebbf7d18187caac8f7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.06953",
    "kind": "arxiv",
    "version": 2
  }
}