Pith Number

pith:WIW6VHRC

pith:2013:WIW6VHRCUNN2MWUYWGI3IK7VWW

not attested not anchored not stored refs pending

A functional RG equation for the c-function

Alessandro Codello, Carlo Pagani, Giulio D'Odorico

arxiv:1312.7097 v2 · 2013-12-26 · hep-th · cond-mat.stat-mech · gr-qc

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WIW6VHRCUNN2MWUYWGI3IK7VWW}

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	2026-05-18T02:39:55.678047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b22dea9e22a35ba65a98b191b42bf5b597652285c360fa349738c063e9afd93f

Aliases

arxiv: 1312.7097 · arxiv_version: 1312.7097v2 · doi: 10.48550/arxiv.1312.7097 · pith_short_12: WIW6VHRCUNN2 · pith_short_16: WIW6VHRCUNN2MWUY · pith_short_8: WIW6VHRC

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/WIW6VHRCUNN2MWUYWGI3IK7VWW \
  | 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: b22dea9e22a35ba65a98b191b42bf5b597652285c360fa349738c063e9afd93f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa6a1ff87778cab1b12899755c7911dc565f5e45b447c87dfc0dc1fb1c894cae",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-12-26T12:40:51Z",
    "title_canon_sha256": "b53074ba1e0c3352506903527c3030cad2e3298b494a5f7ff8869d033a895018"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7097",
    "kind": "arxiv",
    "version": 2
  }
}