Pith Number

pith:BXM3Q25F

pith:2010:BXM3Q25F3NO7ZKSIDUQ4RGL4JA

not attested not anchored not stored refs pending

Renormalization Group Functional Equations

Cosmas K. Zachos, Thomas L. Curtright

arxiv:1010.5174 v3 · 2010-10-25 · hep-th · hep-lat · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BXM3Q25F3NO7ZKSIDUQ4RGL4JA}

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	2026-05-18T04:26:32.902762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0dd9b86ba5db5dfcaa481d21c8997c4813ef578d9698dd2cadde85c6b0eae866

Aliases

arxiv: 1010.5174 · arxiv_version: 1010.5174v3 · doi: 10.48550/arxiv.1010.5174 · pith_short_12: BXM3Q25F3NO7 · pith_short_16: BXM3Q25F3NO7ZKSI · pith_short_8: BXM3Q25F

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/BXM3Q25F3NO7ZKSIDUQ4RGL4JA \
  | 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: 0dd9b86ba5db5dfcaa481d21c8997c4813ef578d9698dd2cadde85c6b0eae866

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78c6d48f762642c5931334a75f13e6fe702b3c3cb9f2da552f0e588587cc02db",
    "cross_cats_sorted": [
      "hep-lat",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-10-25T16:08:05Z",
    "title_canon_sha256": "d2be641afa2f4292bb96f19dbe90cdf4a3b9b0f13f0edae1a4a0bd8fef5bfe35"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5174",
    "kind": "arxiv",
    "version": 3
  }
}