Pith Number

pith:BYYXUYR6

pith:2015:BYYXUYR66OJH263CJK6X63QX5D

not attested not anchored not stored refs pending

Cohen-Macaulay and Gorenstein path ideals of trees

Dariush Kiani, Sara Saeedi Madani

arxiv:1504.06001 v1 · 2015-04-22 · 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{BYYXUYR66OJH263CJK6X63QX5D}

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	2026-05-18T02:18:02.951168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e317a623ef3927d7b624abd7f6e17e8e0a8e42b2f90f926b57db39ff0ab6936

Aliases

arxiv: 1504.06001 · arxiv_version: 1504.06001v1 · doi: 10.48550/arxiv.1504.06001 · pith_short_12: BYYXUYR66OJH · pith_short_16: BYYXUYR66OJH263C · pith_short_8: BYYXUYR6

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/BYYXUYR66OJH263CJK6X63QX5D \
  | 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: 0e317a623ef3927d7b624abd7f6e17e8e0a8e42b2f90f926b57db39ff0ab6936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5813e8d4f8d3bbef608eeffd45c3b4f217b499d68422fca63bb56cbd1e951fe9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-04-22T22:33:01Z",
    "title_canon_sha256": "53367de5e7e765a2f9bc6b62845607d279a827beb408db0307ccdb85cf1a5ebc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.06001",
    "kind": "arxiv",
    "version": 1
  }
}