Pith Number

pith:3VAQONX3

pith:2016:3VAQONX3W2T5TIRJXKZ5NI3OLY

not attested not anchored not stored refs pending

Projective dimension of (hyper)graphs and the Castelnuovo-Mumford regularity of bipartite graphs

T\"urker B{\i}y{\i}ko\u{g}lu, Yusuf Civan

arxiv:1605.02956 v1 · 2016-05-10 · math.CO · 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{3VAQONX3W2T5TIRJXKZ5NI3OLY}

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	2026-05-18T01:15:08.084129Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd410736fbb6a7d9a229bab3d6a36e5e3518adb9eb8e34925a0421de263b0a33

Aliases

arxiv: 1605.02956 · arxiv_version: 1605.02956v1 · doi: 10.48550/arxiv.1605.02956 · pith_short_12: 3VAQONX3W2T5 · pith_short_16: 3VAQONX3W2T5TIRJ · pith_short_8: 3VAQONX3

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/3VAQONX3W2T5TIRJXKZ5NI3OLY \
  | 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: dd410736fbb6a7d9a229bab3d6a36e5e3518adb9eb8e34925a0421de263b0a33

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e9980b1824be2b92d5b56234b74741ce3e0e0ce458ed4ecaf9cb1570b97154bf",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-10T11:46:44Z",
    "title_canon_sha256": "f4c01799e69d87f82d9b7f44a4ab3128912b566ec8c414f171f02c95cd231866"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02956",
    "kind": "arxiv",
    "version": 1
  }
}