Pith Number

pith:3ANU2RYX

pith:2005:3ANU2RYXMQUIKL4XV22PI6EYBD

not attested not anchored not stored refs pending

Closure relations for totally nonnegative cells in G/P

Konstanze Rietsch

arxiv:math/0509137 v2 · 2005-09-06 · 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{3ANU2RYXMQUIKL4XV22PI6EYBD}

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

Total positivity and symmetric spaces

Receipt and verification

First computed	2026-07-04T14:50:37.779586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d81b4d47176428852f97aeb4f4789808e572e0039b728a42eb030eba0ee126a9

Aliases

arxiv: math/0509137 · arxiv_version: math/0509137v2 · doi: 10.48550/arxiv.math/0509137 · pith_short_12: 3ANU2RYXMQUI · pith_short_16: 3ANU2RYXMQUIKL4X · pith_short_8: 3ANU2RYX

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/3ANU2RYXMQUIKL4XV22PI6EYBD \
  | 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: d81b4d47176428852f97aeb4f4789808e572e0039b728a42eb030eba0ee126a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfe13eadbfc511a178531b1258127629cbb9766cbcb917ad32f4d9ae1c43bffd",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2005-09-06T21:42:00Z",
    "title_canon_sha256": "0c6178cfe3b6ba2288776974bfc5ed1977dbadbef8eb08dd7d979ca33533df80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0509137",
    "kind": "arxiv",
    "version": 2
  }
}