Pith Number

pith:7ZYTPUUE

pith:2017:7ZYTPUUEM3EZQKC66MAOCNEA3J

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases for associative conformal modules

Lili Ni, Yuqun Chen

arxiv:1708.04580 v1 · 2017-08-12 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7ZYTPUUEM3EZQKC66MAOCNEA3J}

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	2026-05-18T00:37:58.970773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe7137d28466c998285ef300e13480da6ca419dac5a4b06b22bdadf881ab0330

Aliases

arxiv: 1708.04580 · arxiv_version: 1708.04580v1 · doi: 10.48550/arxiv.1708.04580 · pith_short_12: 7ZYTPUUEM3EZ · pith_short_16: 7ZYTPUUEM3EZQKC6 · pith_short_8: 7ZYTPUUE

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/7ZYTPUUEM3EZQKC66MAOCNEA3J \
  | 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: fe7137d28466c998285ef300e13480da6ca419dac5a4b06b22bdadf881ab0330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62ec323e6c4585129d0100eb557a035c146bfb7eec843da3b9c59933c23ba3e7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-08-12T03:04:14Z",
    "title_canon_sha256": "d1444bde78e34b5a166befd01fcd197623142c112f8c02b96cafd6e5fec3bbde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04580",
    "kind": "arxiv",
    "version": 1
  }
}