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Pith Number

pith:6R5FBBZR

pith:2025:6R5FBBZRYMEJ3ZGQM42BV2NULV
not attested not anchored not stored refs pending

Multiloop functional renormalization group from single bosons

Aiman Al-Eryani, Anna Kauch, Kilian Fraboulet, Sabine Andergassen, Sarah Heinzelmann

arxiv:2512.11190 v2 · 2025-12-12 · cond-mat.str-el

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{6R5FBBZRYMEJ3ZGQM42BV2NULV}

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 2026-06-03T01:05:08.291500Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f47a508731c3089de4d067341ae9b45d419d7c23ba7a0ff05c63d59edca2e4e8

Aliases

arxiv: 2512.11190 · arxiv_version: 2512.11190v2 · doi: 10.48550/arxiv.2512.11190 · pith_short_12: 6R5FBBZRYMEJ · pith_short_16: 6R5FBBZRYMEJ3ZGQ · pith_short_8: 6R5FBBZR
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/6R5FBBZRYMEJ3ZGQM42BV2NULV \
  | 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: f47a508731c3089de4d067341ae9b45d419d7c23ba7a0ff05c63d59edca2e4e8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "09b10c01e2fb6e55e20c33acf9edebee26ff151b1711cc29b49415660aa3498c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2025-12-12T00:39:20Z",
    "title_canon_sha256": "105237de60753277ac8d69253d3257c154b60504b5cbe2a63092ad6991292a8c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.11190",
    "kind": "arxiv",
    "version": 2
  }
}