Pith Number

pith:F4GDT2LB

pith:2015:F4GDT2LBP7OJOLKSYHC5BO7SN2

not attested not anchored not stored refs pending

Toric $g$-polynomials of hook shape lattice Path Matroid Polytopes and product of simplices

Sen-Peng Eu, Ya-Lun Tsai, Yuan-Hsun Lo

arxiv:1508.04674 v1 · 2015-08-19 · 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{F4GDT2LBP7OJOLKSYHC5BO7SN2}

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	2026-05-18T01:35:02.107189Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f0c39e9617fdc972d52c1c5d0bbf26e9bd38748e807f2b11d092b1adf7c60d6

Aliases

arxiv: 1508.04674 · arxiv_version: 1508.04674v1 · doi: 10.48550/arxiv.1508.04674 · pith_short_12: F4GDT2LBP7OJ · pith_short_16: F4GDT2LBP7OJOLKS · pith_short_8: F4GDT2LB

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/F4GDT2LBP7OJOLKSYHC5BO7SN2 \
  | 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: 2f0c39e9617fdc972d52c1c5d0bbf26e9bd38748e807f2b11d092b1adf7c60d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2df5680e8576da9663820b10fbc14528a8a5384c540320fe5cc2150273124e47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-08-19T15:10:03Z",
    "title_canon_sha256": "c5aeb906907f1cb79f9725960b52e095c055ea709a67e0a98390023a22a6d7cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.04674",
    "kind": "arxiv",
    "version": 1
  }
}