Pith Number

pith:U3AMTXTP

pith:2024:U3AMTXTPZRAHZR3NTMWWBMYHYW

not attested not anchored not stored refs pending

Multiplicity of powers of path ideals of a line graph

Dancheng Lu, Jiawen Shan, Zexin Wang

arxiv:2402.13477 v2 · 2024-02-21 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U3AMTXTPZRAHZR3NTMWWBMYHYW}

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	2026-07-05T08:29:22.784079Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6c0c9de6fcc407cc76d9b2d60b307c58ba76701ca0d768927e11d7b3171a9d4

Aliases

arxiv: 2402.13477 · arxiv_version: 2402.13477v2 · doi: 10.48550/arxiv.2402.13477 · pith_short_12: U3AMTXTPZRAH · pith_short_16: U3AMTXTPZRAHZR3N · pith_short_8: U3AMTXTP

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/U3AMTXTPZRAHZR3NTMWWBMYHYW \
  | 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: a6c0c9de6fcc407cc76d9b2d60b307c58ba76701ca0d768927e11d7b3171a9d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7541cabab7eb042fc4627e84c8f4abfcf10d573ddc105e29967793d899284b48",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2024-02-21T02:31:10Z",
    "title_canon_sha256": "e0701da40ac64cc112b5f5842f1fb8adbeb10de7df233c6099fca19398955519"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.13477",
    "kind": "arxiv",
    "version": 2
  }
}