Pith Number

pith:SNGPCYEI

pith:2011:SNGPCYEICSWOX24KIZANYSW6LU

not attested not anchored not stored refs pending

Modified Born-Jordan Method For Constructing The Commutation Relation Of Coordinate and Momentum

Peking University), Ze-Sen Yang (Institute of Theoretical Physics

arxiv:1103.1446 v1 · 2011-03-08 · 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{SNGPCYEICSWOX24KIZANYSW6LU}

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	2026-05-18T04:27:15.848843Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

934cf1608814acebeb8a4640dc4ade5d312af42be1c0e3251d895d62deb19b2d

Aliases

arxiv: 1103.1446 · arxiv_version: 1103.1446v1 · doi: 10.48550/arxiv.1103.1446 · pith_short_12: SNGPCYEICSWO · pith_short_16: SNGPCYEICSWOX24K · pith_short_8: SNGPCYEI

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/SNGPCYEICSWOX24KIZANYSW6LU \
  | 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: 934cf1608814acebeb8a4640dc4ade5d312af42be1c0e3251d895d62deb19b2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a218bf1aa0d091b4bf1f5afab3ff02162ed7c6f7018387f00357634d35b447",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-03-08T06:38:49Z",
    "title_canon_sha256": "53fe363054881f703928faa6bf5e91f77c797185d9242a8d40bb26dee002dab0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.1446",
    "kind": "arxiv",
    "version": 1
  }
}