Pith Number

pith:UCXIEM2L

pith:2013:UCXIEM2LUPYQYNXWTZQGUOCFPR

not attested not anchored not stored refs pending

Bounding Castelnuovo-Mumford regularity of graphs via Lozin's transformation

Turker Biyikoglu, Yusuf Civan

arxiv:1302.3064 v1 · 2013-02-13 · math.CO · math.AC · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCXIEM2LUPYQYNXWTZQGUOCFPR}

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	2026-05-18T03:33:48.858977Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0ae82334ba3f10c36f69e606a38457c491f423734c03e4f1b53859418186696

Aliases

arxiv: 1302.3064 · arxiv_version: 1302.3064v1 · doi: 10.48550/arxiv.1302.3064 · pith_short_12: UCXIEM2LUPYQ · pith_short_16: UCXIEM2LUPYQYNXW · pith_short_8: UCXIEM2L

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/UCXIEM2LUPYQYNXWTZQGUOCFPR \
  | 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: a0ae82334ba3f10c36f69e606a38457c491f423734c03e4f1b53859418186696

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7cd14cf59aeb4a9e5f1db12b0b0d6127062d85da265d6db525f8f20ea7f89b1d",
    "cross_cats_sorted": [
      "math.AC",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-02-13T12:37:56Z",
    "title_canon_sha256": "b7cb73db7d9d00a83dfb09a02a49237b9b44331b7959e4691a2a26470b22010d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.3064",
    "kind": "arxiv",
    "version": 1
  }
}