Pith Number

pith:IHV7R52V

pith:2018:IHV7R52VXDFQ7TAQR5U6TRETWJ

not attested not anchored not stored refs pending

Symmetric decompositions and real-rootedness

Liam Solus, Petter Br\"and\'en

arxiv:1808.04141 v3 · 2018-08-13 · 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{IHV7R52VXDFQ7TAQR5U6TRETWJ}

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	2026-07-05T00:32:47.398634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

41ebf8f755b8cb0fcc108f69e9c493b24186754bc2bca9c8991202c73385bc79

Aliases

arxiv: 1808.04141 · arxiv_version: 1808.04141v3 · doi: 10.48550/arxiv.1808.04141 · pith_short_12: IHV7R52VXDFQ · pith_short_16: IHV7R52VXDFQ7TAQ · pith_short_8: IHV7R52V

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/IHV7R52VXDFQ7TAQR5U6TRETWJ \
  | 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: 41ebf8f755b8cb0fcc108f69e9c493b24186754bc2bca9c8991202c73385bc79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8f6bb38336db9673b5e8d006d05f25f6dcba078d29a4e0674a99971288a521f5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-13T10:43:50Z",
    "title_canon_sha256": "c40dd3e2d1f5e802aad5362b362d8630cf7d68a954d048f99d292c03e73a74a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04141",
    "kind": "arxiv",
    "version": 3
  }
}