Pith Number

pith:4DXOO4RF

pith:2002:4DXOO4RF7BWTOI77OEZ5R3V3Q5

not attested not anchored not stored refs pending

Notes on Multi-Trace Operators and Holographic Renormalization Group

E.T.Akhmedov (ITEP)

arxiv:hep-th/0202055 v3 · 2002-02-08 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4DXOO4RF7BWTOI77OEZ5R3V3Q5}

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	2026-07-04T14:31:45.389595Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0eee77225f86d3723ff7133d8eebb874949dcd122d6ffbc8c0120124f30f2dc

Aliases

arxiv: hep-th/0202055 · arxiv_version: hep-th/0202055v3 · doi: 10.48550/arxiv.hep-th/0202055 · pith_short_12: 4DXOO4RF7BWT · pith_short_16: 4DXOO4RF7BWTOI77 · pith_short_8: 4DXOO4RF

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/4DXOO4RF7BWTOI77OEZ5R3V3Q5 \
  | 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: e0eee77225f86d3723ff7133d8eebb874949dcd122d6ffbc8c0120124f30f2dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61ced31e7bac81cd0c8326abfe9fbb4d909fcae40728a53b171bad944ba1b26e",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2002-02-08T14:15:16Z",
    "title_canon_sha256": "319666d5fe085801172e3fa2e79d38c5f08e213481541867f1e6986eb3830b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0202055",
    "kind": "arxiv",
    "version": 3
  }
}