Pith Number

pith:GKPTTNOX

pith:2005:GKPTTNOXTTS4K7WWKGFCJ6253N

not attested not anchored not stored refs pending

Multiscale expansion of the lattice sine--Gordon equation

Decio Levi, Matteo Petrera, Xiaoda Ji

arxiv:math-ph/0511006 v1 · 2005-11-02 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GKPTTNOXTTS4K7WWKGFCJ6253N}

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	2026-05-18T01:05:30.046883Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

329f39b5d79ce5c57ed6518a24fb5ddb601e41343fcb4c6326c8c21359e55411

Aliases

arxiv: math-ph/0511006 · arxiv_version: math-ph/0511006v1 · doi: 10.48550/arxiv.math-ph/0511006 · pith_short_12: GKPTTNOXTTS4 · pith_short_16: GKPTTNOXTTS4K7WW · pith_short_8: GKPTTNOX

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/GKPTTNOXTTS4K7WWKGFCJ6253N \
  | 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: 329f39b5d79ce5c57ed6518a24fb5ddb601e41343fcb4c6326c8c21359e55411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec9cc7550bb1ec9e5d5e68b1a0f15bd66702ea36c5a960ca72b4f05dfd3a84fa",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-11-02T10:26:38Z",
    "title_canon_sha256": "b1af673850a2626fe5af8d7d565a01c389a4fba3de90a13daac57e174156f653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0511006",
    "kind": "arxiv",
    "version": 1
  }
}