Pith Number

pith:6RXRDFTD

pith:2017:6RXRDFTDMMURX4HOYMLLHEDRJI

not attested not anchored not stored refs pending

Tiered trees, weights, and q-Eulerian numbers

Einar Steingrimsson, Paul E. Gunnells, Sam Glennon, William Dugan

arxiv:1702.02446 v3 · 2017-02-08 · 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{6RXRDFTDMMURX4HOYMLLHEDRJI}

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	2026-05-17T23:54:48.800255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f46f11966363291bf0eec316b390714a14359c90e87ce701099ee124c973fe90

Aliases

arxiv: 1702.02446 · arxiv_version: 1702.02446v3 · doi: 10.48550/arxiv.1702.02446 · pith_short_12: 6RXRDFTDMMUR · pith_short_16: 6RXRDFTDMMURX4HO · pith_short_8: 6RXRDFTD

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/6RXRDFTDMMURX4HOYMLLHEDRJI \
  | 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: f46f11966363291bf0eec316b390714a14359c90e87ce701099ee124c973fe90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "42a2414070bd7b40a6dc688827fd83967382d0db895e667fadae9944268c5bbd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-08T14:42:34Z",
    "title_canon_sha256": "e9f3ae8da955c42c76561a1a4e357edf15c34299ed8c5c21d6c87bba1f5607c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.02446",
    "kind": "arxiv",
    "version": 3
  }
}