Pith Number

pith:KMLOGYWR

pith:2019:KMLOGYWRZQYK2MVIQ6KSPH7RLK

not attested not anchored not stored refs pending

Duality family of scalar field

Wen-Du Li, Wu-Sheng Dai

arxiv:1909.11659 v3 · 2019-09-25 · physics.gen-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{KMLOGYWRZQYK2MVIQ6KSPH7RLK}

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.

Cited by

1 paper in Pith

A duality in classical and quantum mechanics: General results

Receipt and verification

First computed	2026-07-05T03:21:32.122848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5316e362d1cc30ad32a88795279ff15a841b027f485670c577e2b7aeb1cd135d

Aliases

arxiv: 1909.11659 · arxiv_version: 1909.11659v3 · doi: 10.48550/arxiv.1909.11659 · pith_short_12: KMLOGYWRZQYK · pith_short_16: KMLOGYWRZQYK2MVI · pith_short_8: KMLOGYWR

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/KMLOGYWRZQYK2MVIQ6KSPH7RLK \
  | 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: 5316e362d1cc30ad32a88795279ff15a841b027f485670c577e2b7aeb1cd135d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53b94f49be953fdd2a29419220d0f1f1fa7d6571cd3d0ad5c5d81842eb40c73e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.gen-ph",
    "submitted_at": "2019-09-25T19:06:04Z",
    "title_canon_sha256": "d8d7bd5c97218da81c70347305a14c31946af70150110e83995b99c784ae08df"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.11659",
    "kind": "arxiv",
    "version": 3
  }
}