Pith Number

pith:J3NUUPGH

pith:2016:J3NUUPGH6KXT42NRXPMKDPVCK6

not attested not anchored not stored refs pending

The unimodality of the Ehrhart $\delta$-polynomial of the chain polytope of the zig-zag poset

Herman Z.Q. Chen, Philip B. Zhang

arxiv:1603.08283 v1 · 2016-03-28 · 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{J3NUUPGH6KXT42NRXPMKDPVCK6}

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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.

Cited by

1 paper in Pith

Ehrhart positivity for lattice path matroids

Receipt and verification

First computed	2026-05-18T01:18:12.636547Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4edb4a3cc7f2af3e69b1bbd8a1bea25787cfe15de34bbae7ca01d008fd92e2a4

Aliases

arxiv: 1603.08283 · arxiv_version: 1603.08283v1 · doi: 10.48550/arxiv.1603.08283 · pith_short_12: J3NUUPGH6KXT · pith_short_16: J3NUUPGH6KXT42NR · pith_short_8: J3NUUPGH

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/J3NUUPGH6KXT42NRXPMKDPVCK6 \
  | 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: 4edb4a3cc7f2af3e69b1bbd8a1bea25787cfe15de34bbae7ca01d008fd92e2a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ff3a55a01f2e47b39557aadd17e31c474febc6f68b23e1b463b0a28cf4b71ed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-03-28T02:31:22Z",
    "title_canon_sha256": "dc1fda0cf6f8cb216d942786a9d7e6c27a22ca9261d7ee605f5b8f846f81b984"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.08283",
    "kind": "arxiv",
    "version": 1
  }
}