Pith Number

pith:CCAPZO3O

pith:2015:CCAPZO3ONSJH74ZUI64KLFK75Z

not attested not anchored not stored refs pending

The diagram category of framed tangles and invariants of quantized symplectic group

Yinhuo Zhang, Yuping Yang, Zhankui Xiao

arxiv:1512.04804 v2 · 2015-12-15 · math.RT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CCAPZO3ONSJH74ZUI64KLFK75Z}

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	2026-05-18T00:13:48.528499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1080fcbb6e6c927ff33447b8a5955fee702e2a9081775b547020fdb3422df30e

Aliases

arxiv: 1512.04804 · arxiv_version: 1512.04804v2 · doi: 10.48550/arxiv.1512.04804 · pith_short_12: CCAPZO3ONSJH · pith_short_16: CCAPZO3ONSJH74ZU · pith_short_8: CCAPZO3O

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/CCAPZO3ONSJH74ZUI64KLFK75Z \
  | 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: 1080fcbb6e6c927ff33447b8a5955fee702e2a9081775b547020fdb3422df30e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ea6e21b5a84f65bffb8103d77ff33b3b7445b526d309d96d393e4d75077d73d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-12-15T14:55:52Z",
    "title_canon_sha256": "6988771ebdfb1ef2956a29415cd75e62817a9e1ee0b0594804a704303d8e041a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04804",
    "kind": "arxiv",
    "version": 2
  }
}