Pith Number

pith:6DBYJLPG

pith:2011:6DBYJLPGHQCC2VZEFJUTFTYDPV

not attested not anchored not stored refs pending

Holographic phase space: $c$-functions and black holes as renormalization group flows

Miguel F. Paulos

arxiv:1101.5993 v2 · 2011-01-31 · 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{6DBYJLPGHQCC2VZEFJUTFTYDPV}

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	2026-05-18T02:03:19.970007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0c384ade63c042d57242a6932cf037d6a4726594b8153dea1d2691e5fa7fe97

Aliases

arxiv: 1101.5993 · arxiv_version: 1101.5993v2 · doi: 10.48550/arxiv.1101.5993 · pith_short_12: 6DBYJLPGHQCC · pith_short_16: 6DBYJLPGHQCC2VZE · pith_short_8: 6DBYJLPG

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/6DBYJLPGHQCC2VZEFJUTFTYDPV \
  | 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: f0c384ade63c042d57242a6932cf037d6a4726594b8153dea1d2691e5fa7fe97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd965259f0c54aa9d509c8fd9ece13ff5f0d46763d01793c7064e605a5fcc65c",
    "cross_cats_sorted": [
      "gr-qc"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-01-31T15:35:49Z",
    "title_canon_sha256": "a38bd101f6fd0245be3c3bf2913cc2732087d05d0e433a5f3e1a330fdab6def3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5993",
    "kind": "arxiv",
    "version": 2
  }
}