Pith Number

pith:7LHS3SOC

pith:2012:7LHS3SOCQ44JGA2CTXE2DURTFL

not attested not anchored not stored refs pending

On monotonicity of some combinatorial sequences

Haomin Wen, Qing-Hu Hou, Zhi-Wei Sun

arxiv:1208.3903 v8 · 2012-08-19 · 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{7LHS3SOCQ44JGA2CTXE2DURTFL}

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	2026-05-18T02:30:40.671142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

facf2dc9c287389303429dc9a1d2332aed5a3b05e17305d351d41bb94198bb39

Aliases

arxiv: 1208.3903 · arxiv_version: 1208.3903v8 · doi: 10.48550/arxiv.1208.3903 · pith_short_12: 7LHS3SOCQ44J · pith_short_16: 7LHS3SOCQ44JGA2C · pith_short_8: 7LHS3SOC

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/7LHS3SOCQ44JGA2CTXE2DURTFL \
  | 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: facf2dc9c287389303429dc9a1d2332aed5a3b05e17305d351d41bb94198bb39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "797195f4c395eafaee70adf72f25370298f894194f3ef3256981e545e6ddd6bc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-08-19T23:30:05Z",
    "title_canon_sha256": "871fd4c0bb4628fdaee005027f166b04f0d535b091d26fa75c1af9f8bc1b170d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.3903",
    "kind": "arxiv",
    "version": 8
  }
}