Pith Number

pith:K7IXVK6U

pith:2016:K7IXVK6UMNLMGD2DYQQTNG4AOB

not attested not anchored not stored refs pending

On the real-rootedness of the local $h$-polynomials of edgewise subdivisions

Philip B. Zhang

arxiv:1605.02298 v2 · 2016-05-08 · math.CO · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K7IXVK6UMNLMGD2DYQQTNG4AOB}

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	2026-05-17T23:52:24.842799Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

57d17aabd46356c30f43c421369b80704d91e8e5db99d73ed28f70f8cbecc597

Aliases

arxiv: 1605.02298 · arxiv_version: 1605.02298v2 · doi: 10.48550/arxiv.1605.02298 · pith_short_12: K7IXVK6UMNLM · pith_short_16: K7IXVK6UMNLMGD2D · pith_short_8: K7IXVK6U

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/K7IXVK6UMNLMGD2DYQQTNG4AOB \
  | 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: 57d17aabd46356c30f43c421369b80704d91e8e5db99d73ed28f70f8cbecc597

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1c6cb0d2e3a1cff0b5c402ea0b0f5b465a429287087ac8fb0c4ffa6135c7935",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-08T09:26:19Z",
    "title_canon_sha256": "e3e92ca169ecc81c17799689eab27ca82264267b82bf4d7c507c578a1bc9b977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.02298",
    "kind": "arxiv",
    "version": 2
  }
}