Pith Number

pith:BF5QLX5U

pith:2007:BF5QLX5U3VC4RJRSHLX37TDG6A

not attested not anchored not stored refs pending

Non-Perturbative Functional Renormalization Group for Random Field Models and Related Disordered Systems. II: Results for the Random Field O(N) Model

Gilles Tarjus, Matthieu Tissier

arxiv:0712.3556 v1 · 2007-12-20 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BF5QLX5U3VC4RJRSHLX37TDG6A}

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	2026-05-18T04:17:25.343929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

097b05dfb4dd45c8a6323aefbfcc66f0303347193e610477957e091d192d3ca8

Aliases

arxiv: 0712.3556 · arxiv_version: 0712.3556v1 · doi: 10.48550/arxiv.0712.3556 · pith_short_12: BF5QLX5U3VC4 · pith_short_16: BF5QLX5U3VC4RJRS · pith_short_8: BF5QLX5U

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/BF5QLX5U3VC4RJRSHLX37TDG6A \
  | 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: 097b05dfb4dd45c8a6323aefbfcc66f0303347193e610477957e091d192d3ca8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83e89d274ce71415f03e0bbc57250c86c011ec2ff4aba4800fb6069bde5a1175",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2007-12-20T19:59:57Z",
    "title_canon_sha256": "3daeab2f6b01903028a5ae787ebb23e8acd1dfbbb1575ee04b63f6e62a6f0348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.3556",
    "kind": "arxiv",
    "version": 1
  }
}