Pith Number

pith:C4E2LKWK

pith:2016:C4E2LKWKCJYPPAMMM2SGTVFOEO

not attested not anchored not stored refs pending

Wavepackets in inhomogeneous periodic media: effective particle-field dynamics and Berry curvature

Alexander B. Watson, Jianfeng Lu, Michael I. Weinstein

arxiv:1611.03408 v2 · 2016-11-10 · math-ph · cond-mat.mes-hall · math.AP · math.MP · 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{C4E2LKWKCJYPPAMMM2SGTVFOEO}

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	2026-07-05T04:50:08.049581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1709a5aaca1270f7818c66a469d4ae23b1b147d5a41e5f302740ed6dc2a5c4d2

Aliases

arxiv: 1611.03408 · arxiv_version: 1611.03408v2 · doi: 10.48550/arxiv.1611.03408 · pith_short_12: C4E2LKWKCJYP · pith_short_16: C4E2LKWKCJYPPAMM · pith_short_8: C4E2LKWK

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/C4E2LKWKCJYPPAMMM2SGTVFOEO \
  | 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: 1709a5aaca1270f7818c66a469d4ae23b1b147d5a41e5f302740ed6dc2a5c4d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee56cf39443f245f91b2834971e0f14bcd390040480a16b23bf3182175dc67fb",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-10T17:28:48Z",
    "title_canon_sha256": "b45569b5a3a940b97193315caff8ce2780f5e55468ee9dfde2b0746ec6aeac6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.03408",
    "kind": "arxiv",
    "version": 2
  }
}