Pith Number

pith:PM5IFIRC

pith:2025:PM5IFIRCF6YJWKLHEESJHTYS6C

not attested not anchored not stored refs pending

Polarization Decomposition and Its Applications

Jun Wang, Tianfu Qi

arxiv:2505.01152 v2 · 2025-05-02 · cs.IT · math.IT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PM5IFIRCF6YJWKLHEESJHTYS6C}

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	2026-07-05T10:58:27.605250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b3a82a2222fb09b2967212493cf12f08eb42497a366da9c4e3e5b2f659ffed5

Aliases

arxiv: 2505.01152 · arxiv_version: 2505.01152v2 · doi: 10.48550/arxiv.2505.01152 · pith_short_12: PM5IFIRCF6YJ · pith_short_16: PM5IFIRCF6YJWKLH · pith_short_8: PM5IFIRC

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/PM5IFIRCF6YJWKLHEESJHTYS6C \
  | 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: 7b3a82a2222fb09b2967212493cf12f08eb42497a366da9c4e3e5b2f659ffed5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df916051cf94d2ec514f9b3765006c275804b7982170058106afdc2d25f1fbc1",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-05-02T09:53:31Z",
    "title_canon_sha256": "d2fb5552b24a380862048566121d38b3fec23bdabee4d4e54a7aaa67adb9b902"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.01152",
    "kind": "arxiv",
    "version": 2
  }
}