Pith Number

pith:VHTB36YF

pith:2011:VHTB36YFSCFVG6GWEOW2T6RGY4

not attested not anchored not stored refs pending

Exponentially Localized Wannier Functions in Periodic Zero Flux Magnetic Fields

Giuseppe De Nittis, Max Lein

arxiv:1108.5651 v2 · 2011-08-29 · math-ph · cond-mat.other · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VHTB36YFSCFVG6GWEOW2T6RGY4}

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	2026-05-18T03:30:03.104021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e61dfb05908b5378d623ada9fa26c7200e0e23be2d2bd75bbf1d1708cd7d4b

Aliases

arxiv: 1108.5651 · arxiv_version: 1108.5651v2 · doi: 10.48550/arxiv.1108.5651 · pith_short_12: VHTB36YFSCFV · pith_short_16: VHTB36YFSCFVG6GW · pith_short_8: VHTB36YF

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/VHTB36YFSCFVG6GWEOW2T6RGY4 \
  | 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: a9e61dfb05908b5378d623ada9fa26c7200e0e23be2d2bd75bbf1d1708cd7d4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd4a9479f625507762ea807f9ae2253b5e3d58bd637202895f33fc0e6e91b765",
    "cross_cats_sorted": [
      "cond-mat.other",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-08-29T16:57:52Z",
    "title_canon_sha256": "c98f1f948261f3f42b5d8301ae6973d65d5191cc557878eca70d02794433371c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.5651",
    "kind": "arxiv",
    "version": 2
  }
}