Pith Number

pith:3A77VAH6

pith:2015:3A77VAH6UPHL3KAIKEYWLHE66D

not attested not anchored not stored refs pending

Delocalization of two interacting particles in the two-dimensional Harper model

D.L. Shepelyansky, K.M. Frahm

arxiv:1510.01104 v1 · 2015-10-05 · cond-mat.quant-gas · 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{3A77VAH6UPHL3KAIKEYWLHE66D}

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	2026-05-18T01:22:47.977794Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d83ffa80fea3cebda8085131659c9ef0ee64fc2a71406cdd472b5dadcc828ee2

Aliases

arxiv: 1510.01104 · arxiv_version: 1510.01104v1 · doi: 10.48550/arxiv.1510.01104 · pith_short_12: 3A77VAH6UPHL · pith_short_16: 3A77VAH6UPHL3KAI · pith_short_8: 3A77VAH6

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/3A77VAH6UPHL3KAIKEYWLHE66D \
  | 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: d83ffa80fea3cebda8085131659c9ef0ee64fc2a71406cdd472b5dadcc828ee2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f5b904385be9275a26c98b620298396bb99b409cf91e04d62a36c57358a9a62",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2015-10-05T11:22:04Z",
    "title_canon_sha256": "e20737b4e7813395c1137ae28f674c6d2081da5c4f898afc85e92a6b34fdd84e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.01104",
    "kind": "arxiv",
    "version": 1
  }
}