Pith Number

pith:TLUYTF42

pith:2012:TLUYTF425EORQ35XNASMF63AAV

not attested not anchored not stored refs pending

Quantum corrections to phi^4 model solutions and applications to Heisenberg chain dynamics

Grzegorz Kwiatkowski, Sergey Leble

arxiv:1211.5956 v1 · 2012-11-26 · math-ph · math.MP · 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{TLUYTF425EORQ35XNASMF63AAV}

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	2026-05-18T01:52:55.091477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ae989979ae91d186fb76824c2fb60056de68f04a1af14f4d654fed5606cd79e

Aliases

arxiv: 1211.5956 · arxiv_version: 1211.5956v1 · doi: 10.48550/arxiv.1211.5956 · pith_short_12: TLUYTF425EOR · pith_short_16: TLUYTF425EORQ35X · pith_short_8: TLUYTF42

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/TLUYTF425EORQ35XNASMF63AAV \
  | 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: 9ae989979ae91d186fb76824c2fb60056de68f04a1af14f4d654fed5606cd79e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87cde9818948f869510cd40a330b0c4af1758d59c7adc1b2c8c74849ed5a293e",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-26T13:59:32Z",
    "title_canon_sha256": "7561bc9aec5cfc878387eef67dfb79548b334e526b0d29a660229bdb9bca17ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5956",
    "kind": "arxiv",
    "version": 1
  }
}