Pith Number

pith:ZYSK2F6N

pith:2019:ZYSK2F6NOOUMJO27CPCXPUZINU

not attested not anchored not stored refs pending

On the mathematics and physics of Mixed Spin P-Fields

Chiu-Chu Melissa Liu, Huai-Liang Chang, Jun Li, Wei-ping Li

arxiv:1907.06152 v1 · 2019-07-14 · math.AG · 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{ZYSK2F6NOOUMJO27CPCXPUZINU}

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	2026-05-17T23:40:38.365909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce24ad17cd73a8c4bb5f13c577d3286d32b827d483c5ccca95c20de600b81de1

Aliases

arxiv: 1907.06152 · arxiv_version: 1907.06152v1 · doi: 10.48550/arxiv.1907.06152 · pith_short_12: ZYSK2F6NOOUM · pith_short_16: ZYSK2F6NOOUMJO27 · pith_short_8: ZYSK2F6N

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/ZYSK2F6NOOUMJO27CPCXPUZINU \
  | 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: ce24ad17cd73a8c4bb5f13c577d3286d32b827d483c5ccca95c20de600b81de1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ec8ae9fcfc2af34bca7a2f789bc23402edd81e7f6283ba3cb58a316ced9532",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-07-14T01:00:00Z",
    "title_canon_sha256": "4df36eb28ec0252a5270e9949ef8489d4f526cb4b43565fb1718204e2e70555a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.06152",
    "kind": "arxiv",
    "version": 1
  }
}