Pith Number

pith:37TXORPV

pith:2018:37TXORPV2MGWWL4BB6B2KOB24L

not attested not anchored not stored refs pending

Combinatorics of the Deodhar decomposition of the Grassmannian

Cameron Marcott

arxiv:1807.09229 v1 · 2018-07-24 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37TXORPV2MGWWL4BB6B2KOB24L}

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	2026-05-18T00:09:56.349354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe77745f5d30d6b2f810f83a5383ae2cc9e5d9fe4ee7707c8ce72e23ebd10ba

Aliases

arxiv: 1807.09229 · arxiv_version: 1807.09229v1 · doi: 10.48550/arxiv.1807.09229 · pith_short_12: 37TXORPV2MGW · pith_short_16: 37TXORPV2MGWWL4B · pith_short_8: 37TXORPV

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/37TXORPV2MGWWL4BB6B2KOB24L \
  | 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: dfe77745f5d30d6b2f810f83a5383ae2cc9e5d9fe4ee7707c8ce72e23ebd10ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca81c0a6827805edc29633b680e4deaa2c68d977c336b2c8ee9b8968bd13a64f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-07-24T16:48:41Z",
    "title_canon_sha256": "4ec2f849181a7143fc6389b651124b53a4c96407437e4a3658ac013d6711384a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.09229",
    "kind": "arxiv",
    "version": 1
  }
}