Pith Number

pith:F5VINO2W

pith:2018:F5VINO2WR7KVHEN4OPWVNGCKRC

not attested not anchored not stored refs pending

Characteristic quasi-polynomials of ideals and signed graphs of classical root systems

Tan Nhat Tran

arxiv:1805.00179 v1 · 2018-05-01 · 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{F5VINO2WR7KVHEN4OPWVNGCKRC}

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	2026-07-05T00:28:21.487486Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f6a86bb568fd55391bc73ed56984a88a71f88322d780adaebc5602830c126a3

Aliases

arxiv: 1805.00179 · arxiv_version: 1805.00179v1 · doi: 10.48550/arxiv.1805.00179 · pith_short_12: F5VINO2WR7KV · pith_short_16: F5VINO2WR7KVHEN4 · pith_short_8: F5VINO2W

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/F5VINO2WR7KVHEN4OPWVNGCKRC \
  | 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: 2f6a86bb568fd55391bc73ed56984a88a71f88322d780adaebc5602830c126a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66e4c472ed9f9c24e5acea371510ef545b679aea76d069c28602a215501d4baf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-01T04:10:45Z",
    "title_canon_sha256": "5cfda96d8f7cec9cb6f6546c2059238347ec20bfadc3861e9da649753c2706aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.00179",
    "kind": "arxiv",
    "version": 1
  }
}