Pith Number

pith:ZMWU5YQW

pith:2011:ZMWU5YQWYF7WBQWFTBQZVQ7ETS

not attested not anchored not stored refs pending

Curve Crossing Problem with Arbitrary Coupling: Analytically Solvable Model

Aniruddha Chakraborty

arxiv:1101.3183 v1 · 2011-01-17 · quant-ph · physics.chem-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{ZMWU5YQWYF7WBQWFTBQZVQ7ETS}

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	2026-05-18T02:03:39.299253Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb2d4ee216c17f60c2c598619ac3e49ca568c6e71691fd4f61852b49978b835d

Aliases

arxiv: 1101.3183 · arxiv_version: 1101.3183v1 · doi: 10.48550/arxiv.1101.3183 · pith_short_12: ZMWU5YQWYF7W · pith_short_16: ZMWU5YQWYF7WBQWF · pith_short_8: ZMWU5YQW

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/ZMWU5YQWYF7WBQWFTBQZVQ7ETS \
  | 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: cb2d4ee216c17f60c2c598619ac3e49ca568c6e71691fd4f61852b49978b835d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c23a777b41bcff1d38dec1411ba8de93adf294ad8387d3049ed4a44799612c3",
    "cross_cats_sorted": [
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-01-17T11:14:34Z",
    "title_canon_sha256": "c8368abe29ea43ce9304e1097bdb4013fa213f76fd045635bcdbb63162a8aae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.3183",
    "kind": "arxiv",
    "version": 1
  }
}