Pith Number

pith:WXP2FL25

pith:2025:WXP2FL25HY5G3SKU72TEWJRA6G

not attested not anchored not stored refs pending

Flat bands, Dirac cones, and higher-order band crossings in twisted multilayer graphene

Bryan Li, Mengxuan Yang

arxiv:2508.02011 v1 · 2025-08-04 · math-ph · cond-mat.mes-hall · cond-mat.str-el · math.AP · math.MP · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WXP2FL25HY5G3SKU72TEWJRA6G}

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	2026-07-05T11:47:49.528812Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5dfa2af5d3e3a6dc954fea64b2620f196a53e88d5b6a6f93a70cdc2e23a90e6

Aliases

arxiv: 2508.02011 · arxiv_version: 2508.02011v1 · doi: 10.48550/arxiv.2508.02011 · pith_short_12: WXP2FL25HY5G · pith_short_16: WXP2FL25HY5G3SKU · pith_short_8: WXP2FL25

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/WXP2FL25HY5G3SKU72TEWJRA6G \
  | 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: b5dfa2af5d3e3a6dc954fea64b2620f196a53e88d5b6a6f93a70cdc2e23a90e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8379271be1b94c04040671f712845525fa3bbf9ca5bc7102e75fe3e5032994e",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "cond-mat.str-el",
      "math.AP",
      "math.MP",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-08-04T03:12:30Z",
    "title_canon_sha256": "f48748a42a76dcf88aef455124e23b3eef63812df4c78a57773a1f0ddca12e29"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.02011",
    "kind": "arxiv",
    "version": 1
  }
}