Pith Number

pith:V3RU3H6G

pith:1991:V3RU3H6G5XIMQPLEPTZFBH3UPQ

not attested not anchored not stored refs pending

Discrete and Continuum Approaches to Three-Dimensional Quantum Gravity

Hirosi Ooguri, Naoki Sasakura

arxiv:hep-th/9108006 v2 · 1991-08-20 · 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{V3RU3H6G5XIMQPLEPTZFBH3UPQ}

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	2026-07-04T15:50:07.084587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aee34d9fc6edd0c83d647cf2509f747c38fba17c2e42315b051572805e6c3859

Aliases

arxiv: hep-th/9108006 · arxiv_version: hep-th/9108006v2 · doi: 10.48550/arxiv.hep-th/9108006 · pith_short_12: V3RU3H6G5XIM · pith_short_16: V3RU3H6G5XIMQPLE · pith_short_8: V3RU3H6G

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/V3RU3H6G5XIMQPLEPTZFBH3UPQ \
  | 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: aee34d9fc6edd0c83d647cf2509f747c38fba17c2e42315b051572805e6c3859

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f3c4b8f2e1378e5b517ac1ded29d31151b95e027ce657211f33647053a6655c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1991-08-20T06:50:29Z",
    "title_canon_sha256": "92e62b0c44afe01ded04726468b01f0e586fad05791fd689d70d80ca4ca16194"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9108006",
    "kind": "arxiv",
    "version": 2
  }
}