pith. sign in
Pith Number

pith:JUQ5KP37

pith:2016:JUQ5KP37VMUSDUSSMWH4DKHCFM
not attested not anchored not stored refs pending

Quantification of Symmetry

C. P. Sun, D. L. Zhou, G. H. Dong, Y. N. Fang

arxiv:1601.03571 v1 · 2016-01-14 · quant-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{JUQ5KP37VMUSDUSSMWH4DKHCFM}

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 2026-05-18T01:15:42.997938Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

4d21d53f7fab2921d252658fc1a8e22b3951938f9ec968482fd54608ee271e83

Aliases

arxiv: 1601.03571 · arxiv_version: 1601.03571v1 · doi: 10.48550/arxiv.1601.03571 · pith_short_12: JUQ5KP37VMUS · pith_short_16: JUQ5KP37VMUSDUSS · pith_short_8: JUQ5KP37
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/JUQ5KP37VMUSDUSSMWH4DKHCFM \
  | 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: 4d21d53f7fab2921d252658fc1a8e22b3951938f9ec968482fd54608ee271e83
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d58aaeef183a634006be0b385209f7f2ca79cdac43f128f7f6061046f0365e2b",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-01-14T11:59:29Z",
    "title_canon_sha256": "3f5793637a090f8f3c588ef0d5256eb099943bc9bf8aa7ba580d1c91ecfdbcab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03571",
    "kind": "arxiv",
    "version": 1
  }
}