pith. sign in
Pith Number

pith:Y6Q2DIBT

pith:2010:Y6Q2DIBTDKSD5YCZ3U2LLZ7HW4
not attested not anchored not stored refs pending

On the Modes of Polynomials Derived from Nondecreasing Sequences

Arthur L. B. Yang, Donna Q. J. Dou

arxiv:1008.4927 v1 · 2010-08-29 · math.CO · math.CA

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y6Q2DIBTDKSD5YCZ3U2LLZ7HW4}

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 2026-05-18T04:41:43.403553Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c7a1a1a0331aa43ee059dd34b5e7e7b706ca37ccf5e5ea4a37b384983a499131

Aliases

arxiv: 1008.4927 · arxiv_version: 1008.4927v1 · doi: 10.48550/arxiv.1008.4927 · pith_short_12: Y6Q2DIBTDKSD · pith_short_16: Y6Q2DIBTDKSD5YCZ · pith_short_8: Y6Q2DIBT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y6Q2DIBTDKSD5YCZ3U2LLZ7HW4 \
  | 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: c7a1a1a0331aa43ee059dd34b5e7e7b706ca37ccf5e5ea4a37b384983a499131
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "67fc74816139f21fadb320244568804e1689dd42eec6ef8c4e742746a0cb6c7d",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-29T14:34:10Z",
    "title_canon_sha256": "eadfeedcfe6fb504ae3a94945ddbc6e684fbacc40e8208c9e248db2a9d6a0beb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.4927",
    "kind": "arxiv",
    "version": 1
  }
}