Pith Number

pith:TPV5V2ZE

pith:2015:TPV5V2ZEWBHNXTJBKE26QG7257

not attested not anchored not stored refs pending

Linearity defect of edge ideals and Fr\"oberg's theorem

Hop D. Nguyen, Thanh Vu

arxiv:1506.05769 v7 · 2015-06-18 · 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{TPV5V2ZEWBHNXTJBKE26QG7257}

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	2026-05-18T01:22:48.356859Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bebdaeb24b04edbcd215135e81bfaefc336ffe4f7ff7e612b70f12db2a16942

Aliases

arxiv: 1506.05769 · arxiv_version: 1506.05769v7 · doi: 10.48550/arxiv.1506.05769 · pith_short_12: TPV5V2ZEWBHN · pith_short_16: TPV5V2ZEWBHNXTJB · pith_short_8: TPV5V2ZE

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/TPV5V2ZEWBHNXTJBKE26QG7257 \
  | 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: 9bebdaeb24b04edbcd215135e81bfaefc336ffe4f7ff7e612b70f12db2a16942

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f8d890a51d41c882be11314c4d45301473b505f161aa8f5b89eb267e805f041",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-06-18T18:41:17Z",
    "title_canon_sha256": "ba5bfd6465439d77a83e5bd6c66960efa6d278bb2a0d9a9f85b0420a693465b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.05769",
    "kind": "arxiv",
    "version": 7
  }
}