Pith Number

pith:4MLFLO2Z

pith:2011:4MLFLO2ZHJFBDYMOOXKUTHPHTO

not attested not anchored not stored refs pending

Beyond the Dirac phase factor: Dynamical Quantum Phase-Nonlocalities in the Schr\"odinger Picture

Konstantinos Moulopoulos

arxiv:1109.1644 v1 · 2011-09-08 · cond-mat.mes-hall · math-ph · math.MP · 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{4MLFLO2ZHJFBDYMOOXKUTHPHTO}

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	2026-05-18T04:13:54.720858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e31655bb593a4a11e18e75d5499de79b9cc11dc429cfc2f1c562be6512ed1f01

Aliases

arxiv: 1109.1644 · arxiv_version: 1109.1644v1 · doi: 10.48550/arxiv.1109.1644 · pith_short_12: 4MLFLO2ZHJFB · pith_short_16: 4MLFLO2ZHJFBDYMO · pith_short_8: 4MLFLO2Z

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/4MLFLO2ZHJFBDYMOOXKUTHPHTO \
  | 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: e31655bb593a4a11e18e75d5499de79b9cc11dc429cfc2f1c562be6512ed1f01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "619b02d237b63fe7015682512149277577dcc917bd5950b6976f6a98315e09cf",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2011-09-08T07:25:06Z",
    "title_canon_sha256": "183c17e5130b72cc6eaaec750487757be8986a6f60947c88f9384d070fce99cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.1644",
    "kind": "arxiv",
    "version": 1
  }
}