Pith Number

pith:H7WB5EMG

pith:2011:H7WB5EMG426DI5WEAGISDTGI7S

not attested not anchored not stored refs pending

Geometric Momentum for a Particle on a Curved Surface

Q. H. Liu

arxiv:1109.0153 v2 · 2011-09-01 · quant-ph · cond-mat.mes-hall · 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{H7WB5EMG426DI5WEAGISDTGI7S}

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	2026-05-18T04:12:20.524476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3fec1e9186e6bc3476c4019121ccc8fc839b55298d56fcae401b0da54a76c78b

Aliases

arxiv: 1109.0153 · arxiv_version: 1109.0153v2 · doi: 10.48550/arxiv.1109.0153 · pith_short_12: H7WB5EMG426D · pith_short_16: H7WB5EMG426DI5WE · pith_short_8: H7WB5EMG

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/H7WB5EMG426DI5WEAGISDTGI7S \
  | 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: 3fec1e9186e6bc3476c4019121ccc8fc839b55298d56fcae401b0da54a76c78b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec5d8175c4060068f74bb3240c84daefaa71f851b3bcbc55951a1b56eeef595c",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-09-01T11:24:46Z",
    "title_canon_sha256": "231e4678d90f9ff31c4a7f07a4b812e49d0759a9f7005e924ffb2d1e90fd145b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0153",
    "kind": "arxiv",
    "version": 2
  }
}