Pith Number

pith:PSWTH56B

pith:2010:PSWTH56BCIKMLFPMTH2HDUDJBL

not attested not anchored not stored refs pending

Functional renormalization for spontaneous symmetry breaking in the Hubbard model

Christof Wetterich, Hans Christian Krahl, Simon Friederich

arxiv:1012.5436 v2 · 2010-12-24 · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PSWTH56BCIKMLFPMTH2HDUDJBL}

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	2026-05-18T03:23:36.167289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cad33f7c11214c595ec99f471d0690aec10ee5c58e2ba5dd0c021fcae3f3dac

Aliases

arxiv: 1012.5436 · arxiv_version: 1012.5436v2 · doi: 10.48550/arxiv.1012.5436 · pith_short_12: PSWTH56BCIKM · pith_short_16: PSWTH56BCIKMLFPM · pith_short_8: PSWTH56B

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/PSWTH56BCIKMLFPMTH2HDUDJBL \
  | 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: 7cad33f7c11214c595ec99f471d0690aec10ee5c58e2ba5dd0c021fcae3f3dac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c524245f9853f43926f31ce2b94bfb0456eea4c225325ab4f1b94bd4436b442",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.str-el",
    "submitted_at": "2010-12-24T21:55:32Z",
    "title_canon_sha256": "743de2475d1ef9369b47b1075da186d4ef79cb1875b685bc208734f823846d2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5436",
    "kind": "arxiv",
    "version": 2
  }
}