Pith Number

pith:U6BGRXZX

pith:2025:U6BGRXZXLTSXJXZLROAMEGBQGH

not attested not anchored not stored refs pending

Solitons of the Symmetric $\phi^4$-$\phi^2 |\phi|$-$\phi^2$ Triple Well Model

Avadh Saxena, Avinash Khare

arxiv:2507.19769 v1 · 2025-07-26 · nlin.PS · 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{U6BGRXZXLTSXJXZLROAMEGBQGH}

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	2026-07-05T11:43:41.545920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a78268df375ce574df2b8b80c2183031fc08cd49c5654192cb9a8c26158e4a75

Aliases

arxiv: 2507.19769 · arxiv_version: 2507.19769v1 · doi: 10.48550/arxiv.2507.19769 · pith_short_12: U6BGRXZXLTSX · pith_short_16: U6BGRXZXLTSXJXZL · pith_short_8: U6BGRXZX

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/U6BGRXZXLTSXJXZLROAMEGBQGH \
  | 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: a78268df375ce574df2b8b80c2183031fc08cd49c5654192cb9a8c26158e4a75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "128d01253cef405ffd3d695f0e9f8b0bf3ee2b66787acd5e59701c8478bc3b36",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2025-07-26T03:44:28Z",
    "title_canon_sha256": "9cd858dba333246d5d8c97f3e9619ef6cfe369f186a42f68913ba2f211970167"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.19769",
    "kind": "arxiv",
    "version": 1
  }
}