pith. sign in
Pith Number

pith:POTJ7UN4

pith:2016:POTJ7UN4EUFFU6CDATR5VYDVCN
not attested not anchored not stored refs pending

Associated Primes and Syzygies of Linked Modules

Arash Sadeghi, Mohammad T. Dibaei, Mohsen Gheibi, Olgur Celikbas, Ryo Takahashi

arxiv:1602.08625 v2 · 2016-02-27 · math.AC

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{POTJ7UN4EUFFU6CDATR5VYDVCN}

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 2026-05-18T00:46:53.701351Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ba69fd1bc250a5a784304e3dae075137b8071ce0957be1d50ab0507da318e6c

Aliases

arxiv: 1602.08625 · arxiv_version: 1602.08625v2 · doi: 10.48550/arxiv.1602.08625 · pith_short_12: POTJ7UN4EUFF · pith_short_16: POTJ7UN4EUFFU6CD · pith_short_8: POTJ7UN4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/POTJ7UN4EUFFU6CDATR5VYDVCN \
  | 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: 7ba69fd1bc250a5a784304e3dae075137b8071ce0957be1d50ab0507da318e6c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "af052dc2f208bf369666800f2b8a3627fd6e025d9edaa13c79c8fe3458eb7571",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-02-27T18:44:04Z",
    "title_canon_sha256": "ed65fc405f47dd85cce6e4da1f1d42b716b7ee7f0ced09588c50c2a7df134148"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.08625",
    "kind": "arxiv",
    "version": 2
  }
}