Pith Number

pith:GIMDG2O3

pith:1999:GIMDG2O32GLCBC24FEUNJXMA3O

not attested not anchored not stored refs pending

Holography, a covariant c-function, and the geometry of the renormalization group

Vatche Sahakian

arxiv:hep-th/9910099 v2 · 1999-10-12 · hep-th · 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{GIMDG2O32GLCBC24FEUNJXMA3O}

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.

Cited by

1 paper in Pith

Covariant unification of holographic c-functions

Receipt and verification

First computed	2026-07-04T16:14:59.765872Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32183369dbd196208b5c2928d4dd80dbbe269f4f6d91f36239921f5cc7f765b9

Aliases

arxiv: hep-th/9910099 · arxiv_version: hep-th/9910099v2 · doi: 10.48550/arxiv.hep-th/9910099 · pith_short_12: GIMDG2O32GLC · pith_short_16: GIMDG2O32GLCBC24 · pith_short_8: GIMDG2O3

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/GIMDG2O32GLCBC24FEUNJXMA3O \
  | 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: 32183369dbd196208b5c2928d4dd80dbbe269f4f6d91f36239921f5cc7f765b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61f8955cf82443147f8d74390f81df424253d603b497d451709db4fd48df9c72",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-10-12T18:59:18Z",
    "title_canon_sha256": "886cfb988ab2a47d3c0c63472e08e7c0582e280a7ad1d2a6853aa1cc86485cfe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9910099",
    "kind": "arxiv",
    "version": 2
  }
}