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Pith Number

pith:BDIEURMY

pith:2014:BDIEURMY5ANNWTERVQBD5NS24U
not attested not anchored not stored refs pending

The inverse along a product and its applications

Huihui Zhu, Jianlong Chen, Pedro Patricio

arxiv:1411.7847 v1 · 2014-11-28 · math.RA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BDIEURMY5ANNWTERVQBD5NS24U}

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 2026-05-18T02:32:37.126335Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

08d04a4598e81adb4c91ac023eb65ae5199a3f4df669851b8722e3bac2c34d73

Aliases

arxiv: 1411.7847 · arxiv_version: 1411.7847v1 · doi: 10.48550/arxiv.1411.7847 · pith_short_12: BDIEURMY5ANN · pith_short_16: BDIEURMY5ANNWTER · pith_short_8: BDIEURMY
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BDIEURMY5ANNWTERVQBD5NS24U \
  | 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: 08d04a4598e81adb4c91ac023eb65ae5199a3f4df669851b8722e3bac2c34d73
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8392f9000c3bc21db3a434cd000203d716ed339526dda10cd29e7d5450684663",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-11-28T12:52:24Z",
    "title_canon_sha256": "de3bd06c47d4217f2ea79a966b5371002c3f3c67c25f19cdd6a5e5c8b47432f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.7847",
    "kind": "arxiv",
    "version": 1
  }
}