Pith Number

pith:Y2ZW62P4

pith:2012:Y2ZW62P4MGRKSN2AR7YMI6C5FO

not attested not anchored not stored refs pending

Holographic Friedmann Equation and $\cal{N}=$4 SYM theory

Akihiro Nakamura, Kazuo Ghoroku

arxiv:1212.2304 v2 · 2012-12-11 · 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{Y2ZW62P4MGRKSN2AR7YMI6C5FO}

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	2026-05-18T03:31:08.836779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6b36f69fc61a2a937408ff0c4785d2b9d08d8b5bade06d700fab6a9a0631dde

Aliases

arxiv: 1212.2304 · arxiv_version: 1212.2304v2 · doi: 10.48550/arxiv.1212.2304 · pith_short_12: Y2ZW62P4MGRK · pith_short_16: Y2ZW62P4MGRKSN2A · pith_short_8: Y2ZW62P4

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/Y2ZW62P4MGRKSN2AR7YMI6C5FO \
  | 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: c6b36f69fc61a2a937408ff0c4785d2b9d08d8b5bade06d700fab6a9a0631dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "faa09c2b6542488e765a02c50fb73509c4edd3f31f7d7b564795affc02adcfa7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2012-12-11T05:34:35Z",
    "title_canon_sha256": "9a012283e34e171f802d988132f7818d9ccafd0ec79ee1f2b129320c3ba3ea6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.2304",
    "kind": "arxiv",
    "version": 2
  }
}