Pith Number

pith:TOZCUTRK

pith:2012:TOZCUTRKT4DPGTGCWGVXR6VOSP

not attested not anchored not stored refs pending

Entropic fluctuations in XY chains and reflectionless Jacobi matrices

B. Landon, C.-A. Pillet, V. Jaksic

arxiv:1209.3675 v4 · 2012-09-17 · math-ph · math.MP · math.SP · 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{TOZCUTRKT4DPGTGCWGVXR6VOSP}

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	2026-05-18T03:10:37.296248Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bb22a4e2a9f06f34cc2b1ab78faae93f30e7a479c724ca4bf96f063e82f7645

Aliases

arxiv: 1209.3675 · arxiv_version: 1209.3675v4 · doi: 10.48550/arxiv.1209.3675 · pith_short_12: TOZCUTRKT4DP · pith_short_16: TOZCUTRKT4DPGTGC · pith_short_8: TOZCUTRK

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/TOZCUTRKT4DPGTGCWGVXR6VOSP \
  | 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: 9bb22a4e2a9f06f34cc2b1ab78faae93f30e7a479c724ca4bf96f063e82f7645

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50aeb43fbef804d6fda3466707ae0d79c3fab33dd90563c9de0ae06d7cebb853",
    "cross_cats_sorted": [
      "math.MP",
      "math.SP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-17T14:55:38Z",
    "title_canon_sha256": "d93e311d106832e456b1cea4b601fabc987323365871b1dfa64b3fc11393c5d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3675",
    "kind": "arxiv",
    "version": 4
  }
}