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Pith Number

pith:XHD32XSP

pith:2015:XHD32XSPX45HNIPE7Z5F3UXPQU
not attested not anchored not stored refs pending

Grand canonical ensemble, multi-particle wave functions, scattering data, and lattice field theories

Christof Gattringer, Falk Bruckmann, Thomas Kloiber, Tin Sulejmanpasic

arxiv:1509.05189 v2 · 2015-09-17 · hep-lat · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XHD32XSPX45HNIPE7Z5F3UXPQU}

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 2026-05-18T01:24:18.265288Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b9c7bd5e4fbf3a76a1e4fe7a5dd2ef85393d2da466e3afb3fedfe5c43ba93fe2

Aliases

arxiv: 1509.05189 · arxiv_version: 1509.05189v2 · doi: 10.48550/arxiv.1509.05189 · pith_short_12: XHD32XSPX45H · pith_short_16: XHD32XSPX45HNIPE · pith_short_8: XHD32XSP
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XHD32XSPX45HNIPE7Z5F3UXPQU \
  | 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: b9c7bd5e4fbf3a76a1e4fe7a5dd2ef85393d2da466e3afb3fedfe5c43ba93fe2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "287450612bd4a19496bacc70ee5f320b672fcd61545cf36430210f7c521eac02",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-lat",
    "submitted_at": "2015-09-17T09:58:31Z",
    "title_canon_sha256": "7c41d1ef7767957a0f28460f32e2df56c2ac81fec87901026ef563347d93a8be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.05189",
    "kind": "arxiv",
    "version": 2
  }
}