Pith Number

pith:L7FRKEAX

pith:2012:L7FRKEAXH5F7EQK72KPXZDF6TL

not attested not anchored not stored refs pending

Modular and Landen transformations between finite solutions of Sine-Gordon Equation with phase N=1

C. D. Hu, Nan-Hong Kuo

arxiv:1208.2798 v3 · 2012-08-14 · 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{L7FRKEAXH5F7EQK72KPXZDF6TL}

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	2026-05-18T03:44:02.175658Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fcb1510173f4bf2415fd29f7c8cbe9ae2b9b4ecb9eaf8d78ea8c71270952c55

Aliases

arxiv: 1208.2798 · arxiv_version: 1208.2798v3 · doi: 10.48550/arxiv.1208.2798 · pith_short_12: L7FRKEAXH5F7 · pith_short_16: L7FRKEAXH5F7EQK7 · pith_short_8: L7FRKEAX

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/L7FRKEAXH5F7EQK72KPXZDF6TL \
  | 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: 5fcb1510173f4bf2415fd29f7c8cbe9ae2b9b4ecb9eaf8d78ea8c71270952c55

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fc4926eaf2e5859f59df60fc4f9514c8aa261b870f6766ddf1aa43ea496c14b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-14T07:56:35Z",
    "title_canon_sha256": "5da79e50f22b4e76e8bca10ebd2655cfbaa3f7904161f2c7fc33e5287f150801"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2798",
    "kind": "arxiv",
    "version": 3
  }
}