Pith Number

pith:P7CCI6WM

pith:2015:P7CCI6WMFHFM7JIYLNG6PVTFWL

not attested not anchored not stored refs pending

Kink dynamics in the $\phi^4$ model: asymptotic stability for odd perturbations in the energy space

Claudio Mu\~noz, Micha{\l} Kowalczyk, Yvan Martel

arxiv:1506.07420 v2 · 2015-06-24 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7CCI6WMFHFM7JIYLNG6PVTFWL}

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	2026-05-18T00:43:03.262577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc4247acc29cacfa5185b4de7d665b2d09b5f89ca6c086d37cc03c2352d9622

Aliases

arxiv: 1506.07420 · arxiv_version: 1506.07420v2 · doi: 10.48550/arxiv.1506.07420 · pith_short_12: P7CCI6WMFHFM · pith_short_16: P7CCI6WMFHFM7JIY · pith_short_8: P7CCI6WM

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/P7CCI6WMFHFM7JIYLNG6PVTFWL \
  | 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: 7fc4247acc29cacfa5185b4de7d665b2d09b5f89ca6c086d37cc03c2352d9622

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bea819d03895be2b4a45d15a2056fd272d3d383a0e85d34d8d837c56c221fe7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-06-24T15:22:15Z",
    "title_canon_sha256": "64ba4a6ff1e9c687f47056c6be99fc665f6c995701c883867ad95594480aa671"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07420",
    "kind": "arxiv",
    "version": 2
  }
}