Pith Number

pith:5ZJTYMJV

pith:2011:5ZJTYMJVLHGJAFNPUAS3N2ZNWR

not attested not anchored not stored refs pending

Band Structure and Accumulation Point in the Spectrum of Quantum Collision Operator in a One-Dimensional Molecular Chain

B. A. Tay, Kazuki Kanki, Satoshi Tanaka, Tomio Petrosky

arxiv:1101.3637 v1 · 2011-01-19 · cond-mat.stat-mech · math-ph · 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{5ZJTYMJVLHGJAFNPUAS3N2ZNWR}

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	2026-05-18T02:03:26.484444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee533c313559cc9015afa025b6eb2db452b5ddb4fd68a1ade98d36f4cb383ded

Aliases

arxiv: 1101.3637 · arxiv_version: 1101.3637v1 · doi: 10.48550/arxiv.1101.3637 · pith_short_12: 5ZJTYMJVLHGJ · pith_short_16: 5ZJTYMJVLHGJAFNP · pith_short_8: 5ZJTYMJV

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/5ZJTYMJVLHGJAFNPUAS3N2ZNWR \
  | 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: ee533c313559cc9015afa025b6eb2db452b5ddb4fd68a1ade98d36f4cb383ded

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b80ceab4301082e789ab9d0338b675fba5684d00f946b76ec142f861af304287",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2011-01-19T08:07:30Z",
    "title_canon_sha256": "470a167687d4a00c444819c7b55b919c11e61fe4e78a7b7523d66eb47c92d8ee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3637",
    "kind": "arxiv",
    "version": 1
  }
}