Pith Number

pith:KNIP6XMD

pith:2017:KNIP6XMD5JNLTESBSVQPJDPVQU

not attested not anchored not stored refs pending

Recursions associated to trapezoid, symmetric and rotation symmetric functions over Galois fields

Francis N. Castro, L. Brehsner Sep\'ulveda, Luis A. Medina, Robin Chapman

arxiv:1702.08038 v3 · 2017-02-26 · 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{KNIP6XMD5JNLTESBSVQPJDPVQU}

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	2026-05-18T00:18:31.973311Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5350ff5d83ea5ab992419560f48df58514433c91c2cf1474267b34171aa1e0db

Aliases

arxiv: 1702.08038 · arxiv_version: 1702.08038v3 · doi: 10.48550/arxiv.1702.08038 · pith_short_12: KNIP6XMD5JNL · pith_short_16: KNIP6XMD5JNLTESB · pith_short_8: KNIP6XMD

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/KNIP6XMD5JNLTESBSVQPJDPVQU \
  | 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: 5350ff5d83ea5ab992419560f48df58514433c91c2cf1474267b34171aa1e0db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6afc76a5e25ea6284f42d574b2c5c6b056d818d2120681a181b4ba6f6c8a573b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-26T14:22:09Z",
    "title_canon_sha256": "f705035abe3ac07350590fedccde29d18a4397d1e9608c572a66a4f0da13291f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.08038",
    "kind": "arxiv",
    "version": 3
  }
}