Pith Number

pith:CPAKNM2U

pith:2025:CPAKNM2UBLD4HA67G7P2YT2YXG

not attested not anchored not stored refs pending

Higher-order continuum models for twisted bilayer graphene

Alexander B. Watson, Mitchell Luskin, Solomon Quinn, Tianyu Kong

arxiv:2502.08120 v2 · 2025-02-12 · math-ph · 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{CPAKNM2UBLD4HA67G7P2YT2YXG}

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	2026-07-05T10:20:19.198135Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

13c0a6b3540ac7c383df37dfac4f58b9af3037e1491157bd4a2fa72d8144931b

Aliases

arxiv: 2502.08120 · arxiv_version: 2502.08120v2 · doi: 10.48550/arxiv.2502.08120 · pith_short_12: CPAKNM2UBLD4 · pith_short_16: CPAKNM2UBLD4HA67 · pith_short_8: CPAKNM2U

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/CPAKNM2UBLD4HA67G7P2YT2YXG \
  | 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: 13c0a6b3540ac7c383df37dfac4f58b9af3037e1491157bd4a2fa72d8144931b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09ea826e8646c060f967451e2759a8eb639622a38a02fb80cb88b236cb89872d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-02-12T04:47:27Z",
    "title_canon_sha256": "504ce59f1b14ee67243f90286fcf77bae3b0f75593e078f32e640bef1434e085"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08120",
    "kind": "arxiv",
    "version": 2
  }
}