Pith Number

pith:ZVD2PBBR

pith:2011:ZVD2PBBRBX3M4TT6TNKXBH2MGX

not attested not anchored not stored refs pending

On monoidal functors between (braided) Gr-categories

Nguyen Thu Thuy, Nguyen Tien Quang, Pham Thi Cuc

arxiv:1105.5186 v1 · 2011-05-26 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZVD2PBBRBX3M4TT6TNKXBH2MGX}

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	2026-05-18T03:37:20.415437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd47a784310df6ce4e7e9b55709f4c35dd8a7c4d547ec0ea2878c02227c63d83

Aliases

arxiv: 1105.5186 · arxiv_version: 1105.5186v1 · doi: 10.48550/arxiv.1105.5186 · pith_short_12: ZVD2PBBRBX3M · pith_short_16: ZVD2PBBRBX3M4TT6 · pith_short_8: ZVD2PBBR

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/ZVD2PBBRBX3M4TT6TNKXBH2MGX \
  | 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: cd47a784310df6ce4e7e9b55709f4c35dd8a7c4d547ec0ea2878c02227c63d83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc56bb9a683975385c3c9b29d0a57f3b0ec3b6507df1b6d9d62a63bce490ad6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-05-26T01:33:58Z",
    "title_canon_sha256": "29c29ecdb72c27490f246ce05fc2a68bdf09e2049535a6f8819279ccb0e91484"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5186",
    "kind": "arxiv",
    "version": 1
  }
}