Pith Number

pith:KIP2GQWA

pith:2015:KIP2GQWA7J5SECUFS7JIQKBSSH

not attested not anchored not stored refs pending

The Landau-Zener transition and the surface hopping method for the 2D Dirac equation for graphene

Ali Faraj, Shi Jin

arxiv:1505.05988 v1 · 2015-05-22 · math.AP · math-ph · math.MP · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KIP2GQWA7J5SECUFS7JIQKBSSH}

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	2026-05-18T02:03:49.472064Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

521fa342c0fa7b220a8597d288283291d8bd177dba513f5507dd65864960e474

Aliases

arxiv: 1505.05988 · arxiv_version: 1505.05988v1 · doi: 10.48550/arxiv.1505.05988 · pith_short_12: KIP2GQWA7J5S · pith_short_16: KIP2GQWA7J5SECUF · pith_short_8: KIP2GQWA

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/KIP2GQWA7J5SECUFS7JIQKBSSH \
  | 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: 521fa342c0fa7b220a8597d288283291d8bd177dba513f5507dd65864960e474

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "114e3082b63c6e2c5b98b617d0bf9476f876a829128a94bca47030b887d26c2f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-22T08:39:36Z",
    "title_canon_sha256": "188bf21f7f140bb59a9e47020ded3ca291a5150ead4c5195c9682fdeb6a2faee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05988",
    "kind": "arxiv",
    "version": 1
  }
}