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Pith Number

pith:L3WV5Q36

pith:2012:L3WV5Q366PHKJ5SBZAANYEISK6
not attested not anchored not stored refs pending

Differential posets have strict rank growth: a conjecture of Stanley

Alexander Miller

arxiv:1202.3006 v1 · 2012-02-14 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{L3WV5Q366PHKJ5SBZAANYEISK6}

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 2026-05-18T04:02:24.401175Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5eed5ec37ef3cea4f641c800dc111257aa6c3b07f78935c9c63b6e6b6b11fa81

Aliases

arxiv: 1202.3006 · arxiv_version: 1202.3006v1 · doi: 10.48550/arxiv.1202.3006 · pith_short_12: L3WV5Q366PHK · pith_short_16: L3WV5Q366PHKJ5SB · pith_short_8: L3WV5Q36
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/L3WV5Q366PHKJ5SBZAANYEISK6 \
  | 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: 5eed5ec37ef3cea4f641c800dc111257aa6c3b07f78935c9c63b6e6b6b11fa81
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "136140bc2ecc0f18348b4fe16da190d1c2ad11c821ec0e659c1b8c26404ea073",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-02-14T11:36:19Z",
    "title_canon_sha256": "a95387b29e16ae3839ee79de26c54303092a2251f8c00b7f2c241258cf1e1d57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.3006",
    "kind": "arxiv",
    "version": 1
  }
}