Pith Number

pith:6LLWWOV2

pith:2026:6LLWWOV2FL47IWDLCRO24NNRIH

not attested not anchored not stored refs pending

Ideals defining components of two-row Springer fibers

Cristina Sabando-Alvarez, Martha Precup

arxiv:2606.07507 v1 · 2026-06-05 · math.CO · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6LLWWOV2FL47IWDLCRO24NNRIH}

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	2026-06-08T01:05:31.637200Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2d76b3aba2af9f4586b145dae35b141e4cec113b863d9e683f28a24b01dbf5f

Aliases

arxiv: 2606.07507 · arxiv_version: 2606.07507v1 · doi: 10.48550/arxiv.2606.07507 · pith_short_12: 6LLWWOV2FL47 · pith_short_16: 6LLWWOV2FL47IWDL · pith_short_8: 6LLWWOV2

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/6LLWWOV2FL47IWDLCRO24NNRIH \
  | 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: f2d76b3aba2af9f4586b145dae35b141e4cec113b863d9e683f28a24b01dbf5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87acc1dae810a19b45a272eac9a2a4ec5ed3f37505eee15e1f95e093a4811462",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-06-05T17:56:53Z",
    "title_canon_sha256": "09abe9e6c02103096fddd7e080c1fefba8890184603c194f7b6c71d80cbe6e24"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07507",
    "kind": "arxiv",
    "version": 1
  }
}