Pith Number

pith:MTIWVF45

pith:2008:MTIWVF45HPTQWL7OSTKY4DPLIZ

not attested not anchored not stored refs pending

Contraction and restriction of positroids in terms of decorated permutations

Suho Oh

arxiv:0804.0882 v3 · 2008-04-06 · 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{MTIWVF45HPTQWL7OSTKY4DPLIZ}

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	2026-05-18T03:06:22.965853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

64d16a979d3be70b2fee94d58e0deb4649389576c109d2f2d3f7be9d4efd943d

Aliases

arxiv: 0804.0882 · arxiv_version: 0804.0882v3 · doi: 10.48550/arxiv.0804.0882 · pith_short_12: MTIWVF45HPTQ · pith_short_16: MTIWVF45HPTQWL7O · pith_short_8: MTIWVF45

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/MTIWVF45HPTQWL7OSTKY4DPLIZ \
  | 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: 64d16a979d3be70b2fee94d58e0deb4649389576c109d2f2d3f7be9d4efd943d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b0e57f661fe99b353e13e27718cab338c0a44bb2ac25009c7592bbb3c2dceb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2008-04-06T02:08:14Z",
    "title_canon_sha256": "814fb0d4bf022cf5c91cdcab9a50d9d62da19ba53fce1bd6fda5b3f5c4768533"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.0882",
    "kind": "arxiv",
    "version": 3
  }
}