pith. sign in
Pith Number

pith:XHCCJ2LT

pith:2012:XHCCJ2LTYKKMI4OAQDKCU5XXAN
not attested not anchored not stored refs pending

Breathers and their interaction in the massless Gross-Neveu model

Christian Fitzner, Michael Thies

arxiv:1210.4423 v2 · 2012-10-16 · hep-th · hep-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XHCCJ2LTYKKMI4OAQDKCU5XXAN}

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 2026-05-18T01:53:54.325338Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b9c424e973c294c471c080d42a76f703652ef437debbeee2fdd7645b73edd68d

Aliases

arxiv: 1210.4423 · arxiv_version: 1210.4423v2 · doi: 10.48550/arxiv.1210.4423 · pith_short_12: XHCCJ2LTYKKM · pith_short_16: XHCCJ2LTYKKMI4OA · pith_short_8: XHCCJ2LT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XHCCJ2LTYKKMI4OAQDKCU5XXAN \
  | 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: b9c424e973c294c471c080d42a76f703652ef437debbeee2fdd7645b73edd68d
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "68e72352bb625f44c5eec0007c01db72ebb12828114166d8d7dce34178d403c2",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-10-16T14:16:21Z",
    "title_canon_sha256": "080334c246dd2bfef43375f7132dbd60b3814098d5d9efad19304004f4e6cdb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4423",
    "kind": "arxiv",
    "version": 2
  }
}