Pith Number

pith:GLQCRRI2

pith:2025:GLQCRRI2YXD4FIHSMPEHXBLS7I

not attested not anchored not stored refs pending

Trees whose path ideals have linear quotients

Animikha Dutta Dhar, Aniruda Suswaram, Kanoy Kumar Das, Pranath S Karanth, Trung Chau

arxiv:2506.06209 v1 · 2025-06-06 · math.AC · 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{GLQCRRI2YXD4FIHSMPEHXBLS7I}

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	2026-07-05T11:17:27.540333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32e028c51ac5c7c2a0f263c87b8572fa2225e9f5493d5c417b933d891250fc8f

Aliases

arxiv: 2506.06209 · arxiv_version: 2506.06209v1 · doi: 10.48550/arxiv.2506.06209 · pith_short_12: GLQCRRI2YXD4 · pith_short_16: GLQCRRI2YXD4FIHS · pith_short_8: GLQCRRI2

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/GLQCRRI2YXD4FIHSMPEHXBLS7I \
  | 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: 32e028c51ac5c7c2a0f263c87b8572fa2225e9f5493d5c417b933d891250fc8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27486f26dab7f3f5cccce784109c587b2bb2dbbd4f529d3c5dfb72082975389",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-06-06T16:15:22Z",
    "title_canon_sha256": "1d56c3270ba8b58ac188989e70dce6e2a7516d83133a3b7ef2adfec44a90c7ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.06209",
    "kind": "arxiv",
    "version": 1
  }
}