Pith Number

pith:KNSJXF2D

pith:2020:KNSJXF2D7JWV5IOIDS5LBHB6UA

not attested not anchored not stored refs pending

Classification of discrete modular symmetries in Type IIB flux vacua

Hajime Otsuka, Tatsuo Kobayashi

arxiv:2001.07972 v2 · 2020-01-22 · hep-th · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNSJXF2D7JWV5IOIDS5LBHB6UA}

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	2026-07-05T01:04:13.032858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

53649b9743fa6d5ea1c81cbab09c3ea038c39f0457e0aa613b3c50212f7ccbe5

Aliases

arxiv: 2001.07972 · arxiv_version: 2001.07972v2 · doi: 10.48550/arxiv.2001.07972 · pith_short_12: KNSJXF2D7JWV · pith_short_16: KNSJXF2D7JWV5IOI · pith_short_8: KNSJXF2D

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/KNSJXF2D7JWV5IOIDS5LBHB6UA \
  | 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: 53649b9743fa6d5ea1c81cbab09c3ea038c39f0457e0aa613b3c50212f7ccbe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f6ec45c316d3abfc0209e5be8379eef2b49ee15a1b30bcdec1c288da424d9007",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-01-22T11:49:03Z",
    "title_canon_sha256": "add05cbf9266f0763fa67dd7803a5934360aed16f79c4aa365738dd8f8e8feae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.07972",
    "kind": "arxiv",
    "version": 2
  }
}