Pith Number

pith:WYDORWDX

pith:2017:WYDORWDXUHYF7XOZSPGIRDKECN

not attested not anchored not stored refs pending

Number-theoretic aspects of 1D localization: "popcorn function" with Lifshitz tails and its continuous approximation by the Dedekind $\eta$

K. Polovnikov, S. Nechaev

arxiv:1702.06757 v2 · 2017-02-22 · math.NT · cond-mat.dis-nn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WYDORWDXUHYF7XOZSPGIRDKECN}

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	2026-05-18T00:49:57.306048Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b606e8d877a1f05fddd993cc888d44136f3eab69ac7e43a4d75f014cb5c20cf4

Aliases

arxiv: 1702.06757 · arxiv_version: 1702.06757v2 · doi: 10.48550/arxiv.1702.06757 · pith_short_12: WYDORWDXUHYF · pith_short_16: WYDORWDXUHYF7XOZ · pith_short_8: WYDORWDX

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/WYDORWDXUHYF7XOZSPGIRDKECN \
  | 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: b606e8d877a1f05fddd993cc888d44136f3eab69ac7e43a4d75f014cb5c20cf4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4cd19ca728390fae8581deb3ed9a048c865c77c0f5927c68d077fe9930bd1ba",
    "cross_cats_sorted": [
      "cond-mat.dis-nn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-02-22T11:29:20Z",
    "title_canon_sha256": "75e8f1838252996813556882baf252a8988c99a8544cee2ed8a0d281281bd07c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.06757",
    "kind": "arxiv",
    "version": 2
  }
}