Pith Number

pith:RX7OFFB6

pith:2009:RX7OFFB6FW4DPG25CI4EAW6PBX

not attested not anchored not stored refs pending

Sorting orders, subword complexes, Bruhat order and total positivity

Drew Armstrong, Patricia Hersh

arxiv:0909.2828 v2 · 2009-09-15 · math.CO · 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{RX7OFFB6FW4DPG25CI4EAW6PBX}

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	2026-05-18T04:37:11.277564Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dfee2943e2db8379b5d1238405bcf0dfbfc1e02f9094457b76093d0ff273429

Aliases

arxiv: 0909.2828 · arxiv_version: 0909.2828v2 · doi: 10.48550/arxiv.0909.2828 · pith_short_12: RX7OFFB6FW4D · pith_short_16: RX7OFFB6FW4DPG25 · pith_short_8: RX7OFFB6

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/RX7OFFB6FW4DPG25CI4EAW6PBX \
  | 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: 8dfee2943e2db8379b5d1238405bcf0dfbfc1e02f9094457b76093d0ff273429

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67b728c50de14b9fd511bedd1e743f99164177620fedd4be07dff2364318d39b",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-09-15T15:30:11Z",
    "title_canon_sha256": "5b59a0f98d780f9f6c933428ab6819c5bd08656bec248b779e57d6eff9e7702a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.2828",
    "kind": "arxiv",
    "version": 2
  }
}