Pith Number

pith:S5PM44MP

pith:2017:S5PM44MPW2Z5EZMXHSI7R2RMLX

not attested not anchored not stored refs pending

Graph homomorphisms on rectangular matrices over division rings I

Kang Zhao, Li-Ping Huang

arxiv:1701.07324 v2 · 2017-01-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S5PM44MPW2Z5EZMXHSI7R2RMLX}

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	2026-05-18T00:44:13.433372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

975ece718fb6b3d265973c91f8ea2c5deef4657dc23055aca08e216f556a80c7

Aliases

arxiv: 1701.07324 · arxiv_version: 1701.07324v2 · doi: 10.48550/arxiv.1701.07324 · pith_short_12: S5PM44MPW2Z5 · pith_short_16: S5PM44MPW2Z5EZMX · pith_short_8: S5PM44MP

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/S5PM44MPW2Z5EZMXHSI7R2RMLX \
  | 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: 975ece718fb6b3d265973c91f8ea2c5deef4657dc23055aca08e216f556a80c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a47a34d9074dc06c738c42338103dceea6a7f04206ae0c3130d918cc0f1aa14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-25T14:15:42Z",
    "title_canon_sha256": "5a0a3158c042a07561204e19079dc1f6d631a0354c8a94d93d05c5a2dafdcf78"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.07324",
    "kind": "arxiv",
    "version": 2
  }
}