Pith Number

pith:XAQNCKUH

pith:1997:XAQNCKUHPVCWFQKIGZF5OTINZQ

not attested not anchored not stored refs pending

A Lattice Universe from M-theory

C. N. Pope, H. Lu, M.J. Duff, P. Hoxha, R.R. Martinez-Acosta

arxiv:astro-ph/9712301 v2 · 1997-12-22 · astro-ph · 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{XAQNCKUHPVCWFQKIGZF5OTINZQ}

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	2026-07-04T15:53:45.788721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b820d12a877d4562c148364bd74d0dcc1b24cc00111272e92e7414a5e9a7a361

Aliases

arxiv: astro-ph/9712301 · arxiv_version: astro-ph/9712301v2 · doi: 10.48550/arxiv.astro-ph/9712301 · pith_short_12: XAQNCKUHPVCW · pith_short_16: XAQNCKUHPVCWFQKI · pith_short_8: XAQNCKUH

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/XAQNCKUHPVCWFQKIGZF5OTINZQ \
  | 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: b820d12a877d4562c148364bd74d0dcc1b24cc00111272e92e7414a5e9a7a361

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61cec70c0025fee32e7a7811b53458c60ec568a79a32ac94ee9ca9fe379aece6",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "astro-ph",
    "submitted_at": "1997-12-22T19:46:31Z",
    "title_canon_sha256": "fa2e0c7e85163d603a6c36f192f943dcf91d09aebafc511cc8e8dfc01217f24a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "astro-ph/9712301",
    "kind": "arxiv",
    "version": 2
  }
}