Pith Number

pith:2KCPCWOL

pith:2020:2KCPCWOL5NVHMSGDRN6FSAABZR

not attested not anchored not stored refs pending

Twist Gap and Global Symmetry in Two Dimensions

Hirosi Ooguri, Nathan Benjamin, Shu-Heng Shao, Yifan Wang

arxiv:2003.02844 v2 · 2020-03-05 · 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{2KCPCWOL5NVHMSGDRN6FSAABZR}

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

3 papers in Pith

Chiral Tube Algebras I: Topological Defect Lines, Twisted Modules, and Finite Gauging

Infinite-Order Lattice Chiral Anomalies and CPT

Descending into the Modular Bootstrap

Receipt and verification

First computed	2026-07-05T01:12:39.897561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d284f159cbeb6a7648c38b7c590001cc4362747e000b2bccc8af082da3f712eb

Aliases

arxiv: 2003.02844 · arxiv_version: 2003.02844v2 · doi: 10.48550/arxiv.2003.02844 · pith_short_12: 2KCPCWOL5NVH · pith_short_16: 2KCPCWOL5NVHMSGD · pith_short_8: 2KCPCWOL

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/2KCPCWOL5NVHMSGDRN6FSAABZR \
  | 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: d284f159cbeb6a7648c38b7c590001cc4362747e000b2bccc8af082da3f712eb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf4070ee689570e704d55ff4be720042730bf92c765317141104b72ebc908bee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-03-05T19:00:00Z",
    "title_canon_sha256": "bce7aa7e51c5857adf7a6a5009e120ef593f3b642e2bb3c387c581f8f3cb4248"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2003.02844",
    "kind": "arxiv",
    "version": 2
  }
}