Pith Number

pith:MTRZV4AF

pith:2013:MTRZV4AFRBUEYTHNXD23RF3J64

not attested not anchored not stored refs pending

Breather solutions of the discrete p-Schr\"odinger equation

Guillaume James (LJK, INRIA Grenoble Rh\^one-Alpes / LJK Laboratoire Jean Kuntzmann), Yuli Starosvetsky (Technnion)

arxiv:1307.8324 v1 · 2013-07-31 · nlin.PS · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MTRZV4AFRBUEYTHNXD23RF3J64}

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	2026-05-18T03:04:24.022876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64e39af00588684c4cedb8f5b89769f71168d5be698c630812161ea580bf5538

Aliases

arxiv: 1307.8324 · arxiv_version: 1307.8324v1 · doi: 10.48550/arxiv.1307.8324 · pith_short_12: MTRZV4AFRBUE · pith_short_16: MTRZV4AFRBUEYTHN · pith_short_8: MTRZV4AF

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/MTRZV4AFRBUEYTHNXD23RF3J64 \
  | 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: 64e39af00588684c4cedb8f5b89769f71168d5be698c630812161ea580bf5538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a14a91137d1c9e58c281daad5dc9881da39e6888e77a4e5bc15ced9d38393f96",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2013-07-31T13:59:36Z",
    "title_canon_sha256": "11b6a3f32af68b3e3f57575d21798e225d155de3699905e998f91dcbf0cfb6e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.8324",
    "kind": "arxiv",
    "version": 1
  }
}