Pith Number

pith:WMZ4U6L2

pith:2026:WMZ4U6L2OCINNZGP3EAI3FJ4CS

not attested not anchored not stored refs pending

A Survey of Bargmann Invariants: Geometric Foundations and Applications

Bing Xie, Lin Zhang

arxiv:2601.01858 v2 · 2026-01-05 · quant-ph · math-ph · math.FA · 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{WMZ4U6L2OCINNZGP3EAI3FJ4CS}

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

2 papers in Pith

A Geometric Framework for CPT Violation in Neutral Meson Mixing Using Biorthogonal Bargmann Invariants

Commutativity from a single Bargmann invariant equality

Receipt and verification

First computed	2026-08-04T01:52:07.745588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b333ca797a7090d6e4cfd9008d953c1494897bfb310d2225c94da37e5d54a2e5

Aliases

arxiv: 2601.01858 · arxiv_version: 2601.01858v2 · doi: 10.48550/arxiv.2601.01858 · pith_short_12: WMZ4U6L2OCIN · pith_short_16: WMZ4U6L2OCINNZGP · pith_short_8: WMZ4U6L2

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/WMZ4U6L2OCINNZGP3EAI3FJ4CS \
  | 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: b333ca797a7090d6e4cfd9008d953c1494897bfb310d2225c94da37e5d54a2e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "918cf9d6e8bf287867390d527bfb929e088b647529358f2dad1748508da92a1a",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-01-05T07:36:10Z",
    "title_canon_sha256": "fd5d9ba00fc187898d41eb45076969eddf104412f823b6a541e4957bf201a223"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.01858",
    "kind": "arxiv",
    "version": 2
  }
}