Pith Number

pith:EDJAH446

pith:2011:EDJAH446LMJ5AFOCYPIQFGA44S

not attested not anchored not stored refs pending

The sine-Gordon equation in the semiclassical limit: critical behavior near a separatrix

Peter D. Miller, Robert J. Buckingham

arxiv:1106.5716 v1 · 2011-06-28 · math-ph · math.AP · 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{EDJAH446LMJ5AFOCYPIQFGA44S}

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	2026-05-18T04:19:12.633647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20d203f39e5b13d015c2c3d102981ce4843fda550d677a8e6839160193f5ac62

Aliases

arxiv: 1106.5716 · arxiv_version: 1106.5716v1 · doi: 10.48550/arxiv.1106.5716 · pith_short_12: EDJAH446LMJ5 · pith_short_16: EDJAH446LMJ5AFOC · pith_short_8: EDJAH446

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/EDJAH446LMJ5AFOCYPIQFGA44S \
  | 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: 20d203f39e5b13d015c2c3d102981ce4843fda550d677a8e6839160193f5ac62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7978067b927e6cef7b5642ce7823142b43df1c8a99fc2255f70bc824861935a5",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-28T16:13:44Z",
    "title_canon_sha256": "7534011b597ff1c5d7b46b3524946069512d2c2d18a808d0afe847e565c7ddca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.5716",
    "kind": "arxiv",
    "version": 1
  }
}