Pith Number

pith:PRE3HQYC

pith:2011:PRE3HQYCLJS65AY3LCPVXWFHZG

not attested not anchored not stored refs pending

Solution to the Equations of the Moment Expansions

Francisco M. Fern\'andez, Paolo Amore

arxiv:1110.0782 v1 · 2011-10-04 · 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{PRE3HQYCLJS65AY3LCPVXWFHZG}

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	2026-05-18T02:00:18.040675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c49b3c3025a65ee831b589f5bd8a7c99dbacafb79b8c9a7164a0eaf40fb0599

Aliases

arxiv: 1110.0782 · arxiv_version: 1110.0782v1 · doi: 10.48550/arxiv.1110.0782 · pith_short_12: PRE3HQYCLJS6 · pith_short_16: PRE3HQYCLJS65AY3 · pith_short_8: PRE3HQYC

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/PRE3HQYCLJS65AY3LCPVXWFHZG \
  | 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: 7c49b3c3025a65ee831b589f5bd8a7c99dbacafb79b8c9a7164a0eaf40fb0599

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3a5425b14faddeb16a7b56aa6df8bddc61b63e1b7bae95f8fdd65bf7bc5375a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-04T18:32:50Z",
    "title_canon_sha256": "19478edba051f1f28a8dd643b4e6f83644374cade9380ccd43dc334c7e38c5cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0782",
    "kind": "arxiv",
    "version": 1
  }
}