pith. sign in
Pith Number

pith:BR7KJZF3

pith:2004:BR7KJZF327UWHEO7OCJSDM6IQJ
not attested not anchored not stored refs pending

Quivers, long exact sequences and Horn type inequalities

Calin Chindris

arxiv:math/0410423 v3 · 2004-10-19 · math.RT · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BR7KJZF327UWHEO7OCJSDM6IQJ}

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 2026-07-04T14:50:07.897567Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0c7ea4e4bbd7e96391df709321b3c8826267043d697a09c8a7faccbbd603f161

Aliases

arxiv: math/0410423 · arxiv_version: math/0410423v3 · doi: 10.48550/arxiv.math/0410423 · pith_short_12: BR7KJZF327UW · pith_short_16: BR7KJZF327UWHEO7 · pith_short_8: BR7KJZF3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BR7KJZF327UWHEO7OCJSDM6IQJ \
  | 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: 0c7ea4e4bbd7e96391df709321b3c8826267043d697a09c8a7faccbbd603f161
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5521c2418648564fd22d4430287ab7e65a372d3338c0605d2bfcf3c078ad6f81",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "2004-10-19T17:32:22Z",
    "title_canon_sha256": "a358b6531aa3f839016699b11f0d9efa7cf0a0ea6c56fef14e40e4a02a7826ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0410423",
    "kind": "arxiv",
    "version": 3
  }
}