Pith Number

pith:XMNUN5L4

pith:1992:XMNUN5L4NGAX7JXSWDNUJLMB6G

not attested not anchored not stored refs pending

A Closed, Expanding Universe in String Theory

Chiara R. Nappi, Edward Witten

arxiv:hep-th/9206078 v1 · 1992-06-19 · 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{XMNUN5L4NGAX7JXSWDNUJLMB6G}

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.

Cited by

1 paper in Pith

On Cosmological Singularities in String Theory

Receipt and verification

First computed	2026-07-04T17:25:46.434841Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb1b46f57c69817fa6f2b0db44ad81f1b7bbbf4763984de5303b21377c4ee2a4

Aliases

arxiv: hep-th/9206078 · arxiv_version: hep-th/9206078v1 · doi: 10.48550/arxiv.hep-th/9206078 · pith_short_12: XMNUN5L4NGAX · pith_short_16: XMNUN5L4NGAX7JXS · pith_short_8: XMNUN5L4

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/XMNUN5L4NGAX7JXSWDNUJLMB6G \
  | 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: bb1b46f57c69817fa6f2b0db44ad81f1b7bbbf4763984de5303b21377c4ee2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4e81164caf323d4c70eb99971cfa9e3295e59ac2990d864e61c62bb394fc6de",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1992-06-19T15:37:00Z",
    "title_canon_sha256": "ffe27075abea09815786eb0f673fe580187e8989eccb70ec3ef167871f023251"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9206078",
    "kind": "arxiv",
    "version": 1
  }
}