Pith Number

pith:HKHCEWNH

pith:2025:HKHCEWNHILDYZLMQHQ5JIYN4S2

not attested not anchored not stored refs pending

Phase structure analysis of CP(1) model with $\theta$ term by tensor renormalization group

Hayato Aizawa, Shinji Takeda, Yusuke Yoshimura

arxiv:2502.06135 v1 · 2025-02-10 · 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{HKHCEWNHILDYZLMQHQ5JIYN4S2}

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	2026-07-05T10:11:48.243225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8e2259a742c78cad903c3a9461bc96b52056c6c559f13579072f3c821ac5a9

Aliases

arxiv: 2502.06135 · arxiv_version: 2502.06135v1 · doi: 10.48550/arxiv.2502.06135 · pith_short_12: HKHCEWNHILDY · pith_short_16: HKHCEWNHILDYZLMQ · pith_short_8: HKHCEWNH

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/HKHCEWNHILDYZLMQHQ5JIYN4S2 \
  | 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: 3a8e2259a742c78cad903c3a9461bc96b52056c6c559f13579072f3c821ac5a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8456f92c2b90449cf76f29179e10e716d20628d94f4d150914ce8a1320bbad3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2025-02-10T03:51:12Z",
    "title_canon_sha256": "7181e0a73abf1d67636bbd21228b5fc5005a7acae7516126f03bf253516d3a50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.06135",
    "kind": "arxiv",
    "version": 1
  }
}