Pith Number

pith:2DUGVGOK

pith:2023:2DUGVGOKCUDXGPHIQRAYNAFSGO

not attested not anchored not stored refs pending

Classically forbidden regions in the chiral model of twisted bilayer graphene. With an appendix by Zhongkai Tao and Maciej Zworski

Maciej Zworski, Michael Hitrik, Zhongkai Tao

arxiv:2310.19140 v2 · 2023-10-29 · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2DUGVGOKCUDXGPHIQRAYNAFSGO}

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	2026-07-05T10:28:12.793448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0e86a99ca1507733ce884418680b23389a2d099c845e42e417524520404e81f

Aliases

arxiv: 2310.19140 · arxiv_version: 2310.19140v2 · doi: 10.48550/arxiv.2310.19140 · pith_short_12: 2DUGVGOKCUDX · pith_short_16: 2DUGVGOKCUDXGPHI · pith_short_8: 2DUGVGOK

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/2DUGVGOKCUDXGPHIQRAYNAFSGO \
  | 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: d0e86a99ca1507733ce884418680b23389a2d099c845e42e417524520404e81f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6e00aab66c65a8ba25ea6f5d2141b132aa2278bee6a24ade4f6b3aa9c565c7a",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2023-10-29T20:22:59Z",
    "title_canon_sha256": "eb09ecdd58b7f4746f700bef0e20b43c7b391453302534e84ac6b4ff79534ea5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.19140",
    "kind": "arxiv",
    "version": 2
  }
}