Pith Number

pith:RBTZCOTB

pith:2019:RBTZCOTBW5AELFSAPTTCE3OOSJ

not attested not anchored not stored refs pending

Regularity and projective dimension of powers of edge ideal of the disjoint union of some weighted oriented gap-free bipartite graphs

Guangjun Zhu, Hong Wang, Jiaqi Zhang, Li Xu

arxiv:1906.04682 v1 · 2019-06-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RBTZCOTBW5AELFSAPTTCE3OOSJ}

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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	2026-05-17T23:43:33.773036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8867913a61b7404596407ce6226dce9265c302092a2ad9fdccef00e57ff35cb6

Aliases

arxiv: 1906.04682 · arxiv_version: 1906.04682v1 · doi: 10.48550/arxiv.1906.04682 · pith_short_12: RBTZCOTBW5AE · pith_short_16: RBTZCOTBW5AELFSA · pith_short_8: RBTZCOTB

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/RBTZCOTBW5AELFSAPTTCE3OOSJ \
  | 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: 8867913a61b7404596407ce6226dce9265c302092a2ad9fdccef00e57ff35cb6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "caa39ae6dafae7300172255add266ca3bbf4c66e15e54f8943e3ca17e5b5aeb0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2019-06-04T01:48:39Z",
    "title_canon_sha256": "311017c986617c9b3a42e93d07e1b86d42d972b42c426ee6e63fab8c606f3099"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04682",
    "kind": "arxiv",
    "version": 1
  }
}