Pith Number

pith:ZBGDWB6X

pith:1999:ZBGDWB6XGWOFM6IP5XFRU4AKP2

not attested not anchored not stored refs pending

Semiclassical Approximation for Chern-Simons Theory and 3-Hyperbolic Invariants

A.A. Bytsenko, L. Vanzo, S. Zerbini

arxiv:hep-th/9906092 v1 · 1999-06-12 · 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{ZBGDWB6XGWOFM6IP5XFRU4AKP2}

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	2026-07-04T16:14:52.230888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c84c3b07d7359c56790fedcb1a700a7ea39040e975acf06d9c32ece3eed424ec

Aliases

arxiv: hep-th/9906092 · arxiv_version: hep-th/9906092v1 · doi: 10.48550/arxiv.hep-th/9906092 · pith_short_12: ZBGDWB6XGWOF · pith_short_16: ZBGDWB6XGWOFM6IP · pith_short_8: ZBGDWB6X

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/ZBGDWB6XGWOFM6IP5XFRU4AKP2 \
  | 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: c84c3b07d7359c56790fedcb1a700a7ea39040e975acf06d9c32ece3eed424ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58739cfb8ffae57dfe4fde9ec5c6a6ef6b89f8ce56084ae6b5902d83cd33a993",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-06-12T19:18:27Z",
    "title_canon_sha256": "7f842bd9cf1f9b56593bb8acacfe13e8e1994e4ea855a84387a3ef3cec4296c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9906092",
    "kind": "arxiv",
    "version": 1
  }
}