Pith Number

pith:R3F3BD4K

pith:2025:R3F3BD4K4SZROPPBW6Z3XUOC7B

not attested not anchored not stored refs pending

New kinds of block diagonal matching fields and toric degenerations of Grassmannians

Akihiro Higashitani, Nobukazu Kowaki

arxiv:2505.00388 v1 · 2025-05-01 · math.CO · 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{R3F3BD4K4SZROPPBW6Z3XUOC7B}

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	2026-07-05T10:57:12.800279Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ecbb08f8ae4b3173de1b7b3bbd1c2f87eadb622e19e22234b96704a6cef37b0

Aliases

arxiv: 2505.00388 · arxiv_version: 2505.00388v1 · doi: 10.48550/arxiv.2505.00388 · pith_short_12: R3F3BD4K4SZR · pith_short_16: R3F3BD4K4SZROPPB · pith_short_8: R3F3BD4K

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/R3F3BD4K4SZROPPBW6Z3XUOC7B \
  | 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: 8ecbb08f8ae4b3173de1b7b3bbd1c2f87eadb622e19e22234b96704a6cef37b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d91d249b69439e0efa07f942542f893fa60ad705209725166d20d14cfadbb5d",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-05-01T08:23:48Z",
    "title_canon_sha256": "bc16141431d5ae4891c20dd863564ed9ff4cb5bde87d83bc66847a3ab84bc470"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.00388",
    "kind": "arxiv",
    "version": 1
  }
}