Pith Number

pith:IZ3TTFNW

pith:2017:IZ3TTFNWPXCWGEJW7ZECEGO5U7

not attested not anchored not stored refs pending

Left-symmetric bialgebroids and their corresponding Manin triples

Chengming Bai, Jiefeng Liu, Yunhe Sheng

arxiv:1705.08299 v1 · 2017-05-21 · math-ph · math.DG · 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{IZ3TTFNWPXCWGEJW7ZECEGO5U7}

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	2026-05-18T00:17:30.722471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46773995b67dc5631136fe482219dda7d3ba8cd6d3d7380a94e3fa989af2bc6a

Aliases

arxiv: 1705.08299 · arxiv_version: 1705.08299v1 · doi: 10.48550/arxiv.1705.08299 · pith_short_12: IZ3TTFNWPXCW · pith_short_16: IZ3TTFNWPXCWGEJW · pith_short_8: IZ3TTFNW

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/IZ3TTFNWPXCWGEJW7ZECEGO5U7 \
  | 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: 46773995b67dc5631136fe482219dda7d3ba8cd6d3d7380a94e3fa989af2bc6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542351adf5ad37b11ac660e8ed158b05063508f78ecffda5774bd57bc2c13401",
    "cross_cats_sorted": [
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-05-21T21:35:39Z",
    "title_canon_sha256": "c04c0c7b2c8fd283e5e7e7e6c3d92db61c83155731db4999a6f5023520123957"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.08299",
    "kind": "arxiv",
    "version": 1
  }
}