Pith Number

pith:Y5Z3TXM6

pith:2024:Y5Z3TXM6XC7RHZT2QBZMPNTREZ

not attested not anchored not stored refs pending

Geometry of sets of Bargmann invariants

Bing Xie, Bo Li, Lin Zhang

arxiv:2412.09070 v2 · 2024-12-12 · quant-ph · 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{Y5Z3TXM6XC7RHZT2QBZMPNTREZ}

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	2026-07-05T10:47:34.592703Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c773b9dd9eb8bf13e67a8072c7b6712667ebe339cfdda542018e1b13c28b2b81

Aliases

arxiv: 2412.09070 · arxiv_version: 2412.09070v2 · doi: 10.48550/arxiv.2412.09070 · pith_short_12: Y5Z3TXM6XC7R · pith_short_16: Y5Z3TXM6XC7RHZT2 · pith_short_8: Y5Z3TXM6

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/Y5Z3TXM6XC7RHZT2QBZMPNTREZ \
  | 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: c773b9dd9eb8bf13e67a8072c7b6712667ebe339cfdda542018e1b13c28b2b81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d39b543fb18f10b0fc093c1f108719868244809fac4bcd6d1356aa481ba51444",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2024-12-12T08:54:11Z",
    "title_canon_sha256": "47fcb7d1a31f61170b20c50368ec69083bb14fe3d2b132db33f9b17644e8b64f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.09070",
    "kind": "arxiv",
    "version": 2
  }
}