Pith Number

pith:DITZUAFE

pith:2011:DITZUAFEEGAAJ4BKKKVX2WEGA7

not attested not anchored not stored refs pending

Fourier Optics on Graphene

Ashkan Vakil, Nader Engheta

arxiv:1108.5218 v1 · 2011-08-26 · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DITZUAFEEGAAJ4BKKKVX2WEGA7}

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	2026-05-18T02:00:47.823329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a279a00a4218004f02a52ab7d588607c3518eef37b91dacdfeb9684c2280cac

Aliases

arxiv: 1108.5218 · arxiv_version: 1108.5218v1 · doi: 10.48550/arxiv.1108.5218 · pith_short_12: DITZUAFEEGAA · pith_short_16: DITZUAFEEGAAJ4BK · pith_short_8: DITZUAFE

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/DITZUAFEEGAAJ4BKKKVX2WEGA7 \
  | 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: 1a279a00a4218004f02a52ab7d588607c3518eef37b91dacdfeb9684c2280cac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728f18beecc4aa2c6bcd9f9046284d1bc065c4cd13c13577d3a11b2a5ebdb97c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.optics",
    "submitted_at": "2011-08-26T00:45:38Z",
    "title_canon_sha256": "cfd9aff32e0bd6c3abc9f1d342bd8ead7ec829f47e75a0b3e859193d8a008d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5218",
    "kind": "arxiv",
    "version": 1
  }
}