Pith Number

pith:TUYYHAHS

pith:2009:TUYYHAHSIRD52LXTRKWKSTMFMS

not attested not anchored not stored refs pending

Updown numbers and the initial monomials of the slope variety

Jennifer D. Wagner, Jeremy L. Martin

arxiv:0905.4751 v1 · 2009-05-28 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TUYYHAHSIRD52LXTRKWKSTMFMS}

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	2026-05-18T04:11:49.344807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d318380f24447dd2ef38aaca94d856482374b94de539adaef9ff6ca4fa81c9f

Aliases

arxiv: 0905.4751 · arxiv_version: 0905.4751v1 · doi: 10.48550/arxiv.0905.4751 · pith_short_12: TUYYHAHSIRD5 · pith_short_16: TUYYHAHSIRD52LXT · pith_short_8: TUYYHAHS

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/TUYYHAHSIRD52LXTRKWKSTMFMS \
  | 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: 9d318380f24447dd2ef38aaca94d856482374b94de539adaef9ff6ca4fa81c9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78353c34526d9d98152e7ae8d0b85d0e6982ab4ce3007a90849d560720bc8845",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2009-05-28T21:09:52Z",
    "title_canon_sha256": "871f01f111e49dbd6d2d05c2a46f5894492f141fdd6f0a2db46349f16005d5f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.4751",
    "kind": "arxiv",
    "version": 1
  }
}