pith. sign in
Pith Number

pith:TXYOKW3I

pith:2010:TXYOKW3IMONS4FMS7PBQ4AOSER
not attested not anchored not stored refs pending

Scattering of Solitons for Dirac Equation Coupled to a Particle

A. Komech, E. Kopylova, H. Spohn

arxiv:1012.3109 v1 · 2010-12-14 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{TXYOKW3IMONS4FMS7PBQ4AOSER}

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 2026-05-18T04:33:18.572963Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9df0e55b68639b2e1592fbc30e01d2246ce0a68815b098980dac2e30a27d34c6

Aliases

arxiv: 1012.3109 · arxiv_version: 1012.3109v1 · doi: 10.48550/arxiv.1012.3109 · pith_short_12: TXYOKW3IMONS · pith_short_16: TXYOKW3IMONS4FMS · pith_short_8: TXYOKW3I
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/TXYOKW3IMONS4FMS7PBQ4AOSER \
  | 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: 9df0e55b68639b2e1592fbc30e01d2246ce0a68815b098980dac2e30a27d34c6
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "000d92078b261d73344d6ae7799b9699ecdcaf9a4328acb5cf69595f7a68c15c",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-14T17:59:59Z",
    "title_canon_sha256": "91ec990b19be1e4c8b7822563734dc9ef3e55c4eac2815ef83d30eca145b5ff9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3109",
    "kind": "arxiv",
    "version": 1
  }
}