Pith Number

pith:XMX2JXOL

pith:2016:XMX2JXOLYD7JGPCEGSUIBBUS44

not attested not anchored not stored refs pending

The Holographic Universe

Jean-Pierre Luminet

arxiv:1602.07258 v2 · 2016-02-23 · gr-qc · astro-ph.CO · 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{XMX2JXOLYD7JGPCEGSUIBBUS44}

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	2026-05-18T01:18:56.924443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb2fa4ddcbc0fe933c4434a8808692e71e8c5725edb76684a6b3964d78498b26

Aliases

arxiv: 1602.07258 · arxiv_version: 1602.07258v2 · doi: 10.48550/arxiv.1602.07258 · pith_short_12: XMX2JXOLYD7J · pith_short_16: XMX2JXOLYD7JGPCE · pith_short_8: XMX2JXOL

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/XMX2JXOLYD7JGPCEGSUIBBUS44 \
  | 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: bb2fa4ddcbc0fe933c4434a8808692e71e8c5725edb76684a6b3964d78498b26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b36f49d6ffed1f5de6542c844d100d0f7b9a28e07c9b0984b332d45b421fef6",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-02-23T18:32:29Z",
    "title_canon_sha256": "3cfb79083012939598c8a3dd1fb425567872a52e1535963047f7a9f3b164b80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07258",
    "kind": "arxiv",
    "version": 2
  }
}