Pith Number

pith:KEQA7BK5

pith:2011:KEQA7BK5SWID5KZPVVFPAWB6FJ

not attested not anchored not stored refs pending

Annular wave packets at Dirac points and probability oscillation in graphene

Daniel Valencia, Ji Luo, Junqiang Lu

arxiv:1108.2729 v1 · 2011-08-12 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KEQA7BK5SWID5KZPVVFPAWB6FJ}

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	2026-05-18T04:05:27.219008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51200f855d95903eab2fad4af0583e2a5a4dcee53313e6b24ee298441b997e91

Aliases

arxiv: 1108.2729 · arxiv_version: 1108.2729v1 · doi: 10.48550/arxiv.1108.2729 · pith_short_12: KEQA7BK5SWID · pith_short_16: KEQA7BK5SWID5KZP · pith_short_8: KEQA7BK5

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/KEQA7BK5SWID5KZPVVFPAWB6FJ \
  | 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: 51200f855d95903eab2fad4af0583e2a5a4dcee53313e6b24ee298441b997e91

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9db2d2ccde63b4db40ca7f3bcbcf067f710fccc7b0a9f73295ea3628eaab75e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-08-12T22:18:24Z",
    "title_canon_sha256": "558bfbbb7d7864eec4c661583016661e8a5828cc67ff343fcbfeb4b47a8fd2e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2729",
    "kind": "arxiv",
    "version": 1
  }
}