Pith Number

pith:CTPYNZKH

pith:2010:CTPYNZKHGDMT5XVLD6MXEMSEQT

not attested not anchored not stored refs pending

Holographic c-theorems and higher derivative gravity

James T. Liu, Wafic Sabra, Zhichen Zhao

arxiv:1012.3382 v2 · 2010-12-15 · 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{CTPYNZKHGDMT5XVLD6MXEMSEQT}

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	2026-05-18T03:23:03.445161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14df86e54730d93edeab1f9972324484d8bd699711e77e0b17e6cc2c488e72d8

Aliases

arxiv: 1012.3382 · arxiv_version: 1012.3382v2 · doi: 10.48550/arxiv.1012.3382 · pith_short_12: CTPYNZKHGDMT · pith_short_16: CTPYNZKHGDMT5XVL · pith_short_8: CTPYNZKH

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/CTPYNZKHGDMT5XVLD6MXEMSEQT \
  | 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: 14df86e54730d93edeab1f9972324484d8bd699711e77e0b17e6cc2c488e72d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9949b98984c68903d712e0c8543778ca286a7bbd0dc03d2d014f948166ebb3c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-12-15T16:39:17Z",
    "title_canon_sha256": "aa748834548abdb69a5d0a6473214f73cba09b695ec87fbb3dfe6d3d822dafdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.3382",
    "kind": "arxiv",
    "version": 2
  }
}