Pith Number

pith:FYPWNQXV

pith:2016:FYPWNQXVJQXQVEMVS2NTOYR2YX

not attested not anchored not stored refs pending

Strict unimodality of q-polynomials of rooted trees

Jozef H. Przytycki, Seung Yeop Yang, Sujoy Mukherjee, Xiao Wang, Zhiyun Cheng

arxiv:1601.03465 v1 · 2016-01-14 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FYPWNQXVJQXQVEMVS2NTOYR2YX}

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	2026-05-18T01:22:53.418047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e1f66c2f54c2f0a9195969b37623ac5f400700185dc45eeb7ba51ff57e3adf9

Aliases

arxiv: 1601.03465 · arxiv_version: 1601.03465v1 · doi: 10.48550/arxiv.1601.03465 · pith_short_12: FYPWNQXVJQXQ · pith_short_16: FYPWNQXVJQXQVEMV · pith_short_8: FYPWNQXV

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/FYPWNQXVJQXQVEMVS2NTOYR2YX \
  | 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: 2e1f66c2f54c2f0a9195969b37623ac5f400700185dc45eeb7ba51ff57e3adf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56bf3b241bf49fa9ae99afdba01b16a649b960f9de07f4cea5b43dc5758b1d36",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-01-14T01:55:32Z",
    "title_canon_sha256": "a3ed3e3ae4360552a812d5f0a73c232053280f4ce6af8fb9f6a07e447357e93e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.03465",
    "kind": "arxiv",
    "version": 1
  }
}