Pith Number

pith:KGVV5UQ7

pith:2017:KGVV5UQ7M2MBD7TRVBQKK6PQKK

not attested not anchored not stored refs pending

Descent polynomials

Alexander Diaz-Lopez, Bruce E. Sagan, Erik Insko, Mohamed Omar, Pamela E. Harris

arxiv:1710.11033 v2 · 2017-10-30 · 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{KGVV5UQ7M2MBD7TRVBQKK6PQKK}

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	2026-05-18T00:30:40.348551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51ab5ed21f669811fe71a860a579f052a3bbe18f1b0972cd297a39937e502d72

Aliases

arxiv: 1710.11033 · arxiv_version: 1710.11033v2 · doi: 10.48550/arxiv.1710.11033 · pith_short_12: KGVV5UQ7M2MB · pith_short_16: KGVV5UQ7M2MBD7TR · pith_short_8: KGVV5UQ7

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/KGVV5UQ7M2MBD7TRVBQKK6PQKK \
  | 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: 51ab5ed21f669811fe71a860a579f052a3bbe18f1b0972cd297a39937e502d72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e27b4d8c112e18c31d3571d07fcce5ff1d3bfddff117ff2466e74a9117dc1b7b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-10-30T16:03:15Z",
    "title_canon_sha256": "4fe2adea7b52fb0f87cecdaa43cb1a69f599d0aecfb780f9f0d7fd15d75908b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.11033",
    "kind": "arxiv",
    "version": 2
  }
}