Pith Number

pith:IZDYDTOP

pith:2006:IZDYDTOP355WUH6NQRERQ56WNL

not attested not anchored not stored refs pending

Kempf collapsing and quiver loci

Allen Knutson, Mark Shimozono

arxiv:math/0608327 v1 · 2006-08-14 · math.AG · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IZDYDTOP355WUH6NQRERQ56WNL}

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.

Cited by

1 paper in Pith

The external activity complex of a pair of matroids

Receipt and verification

First computed	2026-07-04T14:56:06.726896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

464781cdcfdf7b6a1fcd84491877d66ad23fc6c75781438a295e05138145f4f6

Aliases

arxiv: math/0608327 · arxiv_version: math/0608327v1 · doi: 10.48550/arxiv.math/0608327 · pith_short_12: IZDYDTOP355W · pith_short_16: IZDYDTOP355WUH6N · pith_short_8: IZDYDTOP

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/IZDYDTOP355WUH6NQRERQ56WNL \
  | 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: 464781cdcfdf7b6a1fcd84491877d66ad23fc6c75781438a295e05138145f4f6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26cd3102c9a409fdaf2fa291ec92ddc8255f86baabca445d492362add6ae3146",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2006-08-14T03:54:06Z",
    "title_canon_sha256": "f6fcb270e649da0ba46102f19d096a978de6f1c719ef0b1ddb94234dee631f22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608327",
    "kind": "arxiv",
    "version": 1
  }
}