Pith Number

pith:C2HER5WC

pith:2010:C2HER5WCCJILAGS32LYJSUP2OC

not attested not anchored not stored refs pending

A new integral representation for quasiperiodic fields and its application to two-dimensional band structure calculations

Alex H. Barnett, Leslie Greengard

arxiv:1001.5464 v1 · 2010-01-29 · math.NA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C2HER5WCCJILAGS32LYJSUP2OC}

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	2026-05-18T02:09:21.981749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

168e48f6c21250b01a5bd2f09951fa70b41bc9db54291031db9d708c7233355a

Aliases

arxiv: 1001.5464 · arxiv_version: 1001.5464v1 · doi: 10.48550/arxiv.1001.5464 · pith_short_12: C2HER5WCCJIL · pith_short_16: C2HER5WCCJILAGS3 · pith_short_8: C2HER5WC

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/C2HER5WCCJILAGS32LYJSUP2OC \
  | 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: 168e48f6c21250b01a5bd2f09951fa70b41bc9db54291031db9d708c7233355a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c9a0863cc98de931fd1b4d55f58b8494d627ebcce4fe9588098f9e6f01ca01c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2010-01-29T19:42:55Z",
    "title_canon_sha256": "44dcbd1c5731f81b5de6d8cffd48f4cbbf65ec273e92b8a27d657b9e44f07e39"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.5464",
    "kind": "arxiv",
    "version": 1
  }
}