Pith Number

pith:XXUO7K5J

pith:2012:XXUO7K5JLOMY2MX35QJORLJJHT

not attested not anchored not stored refs pending

On the representation of the position operator and Lie-Hamilton equation in the discrete momentum space

Won Sang Chung

arxiv:1212.6455 v1 · 2012-12-28 · math-ph · hep-lat · 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{XXUO7K5JLOMY2MX35QJORLJJHT}

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	2026-05-18T03:37:39.688776Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bde8efaba95b998d32fbec12e8ad293cf9cf46188c00dc0c63b9a07534b2fd51

Aliases

arxiv: 1212.6455 · arxiv_version: 1212.6455v1 · doi: 10.48550/arxiv.1212.6455 · pith_short_12: XXUO7K5JLOMY · pith_short_16: XXUO7K5JLOMY2MX3 · pith_short_8: XXUO7K5J

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/XXUO7K5JLOMY2MX35QJORLJJHT \
  | 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: bde8efaba95b998d32fbec12e8ad293cf9cf46188c00dc0c63b9a07534b2fd51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7e66d860608de92fac9582c655028ed20feade1df4fcb0cbcec558d72a3e5278",
    "cross_cats_sorted": [
      "hep-lat",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-28T02:33:44Z",
    "title_canon_sha256": "0996cc73742eae957fe505b76533ae4b9c6f9c9b8602f5f20cdf57cf34cdb92e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.6455",
    "kind": "arxiv",
    "version": 1
  }
}