Pith Number

pith:27PQJ6YS

pith:2004:27PQJ6YSCX3JYSAVM46D6RSVUF

not attested not anchored not stored refs pending

A novel variational approach for Quantum Field Theory: example of study of the ground state and phase transition in Nonlinear Sigma Model

Chueng-Ryong Ji, Yuriy Mishchenko

arxiv:quant-ph/0410197 v1 · 2004-10-25 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27PQJ6YSCX3JYSAVM46D6RSVUF}

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	2026-07-04T16:50:27.191173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7df04fb1215f69c4815673c3f4655a16363fa19361adc60bd38ce619d13613f

Aliases

arxiv: quant-ph/0410197 · arxiv_version: quant-ph/0410197v1 · doi: 10.48550/arxiv.quant-ph/0410197 · pith_short_12: 27PQJ6YSCX3J · pith_short_16: 27PQJ6YSCX3JYSAV · pith_short_8: 27PQJ6YS

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/27PQJ6YSCX3JYSAVM46D6RSVUF \
  | 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: d7df04fb1215f69c4815673c3f4655a16363fa19361adc60bd38ce619d13613f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07e60ccb000f76785c5b255594e83cc0c2c8416a09c39e1ce8bcd6452604aa12",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-10-25T17:57:19Z",
    "title_canon_sha256": "2a6a7e5d21c4bda5ea507cb792bb74973969b0c14600a452b03e018cf58d81b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0410197",
    "kind": "arxiv",
    "version": 1
  }
}