Pith Number

pith:3ETC5HIR

pith:2017:3ETC5HIRI6DWYKNI3GQERFM4QL

not attested not anchored not stored refs pending

Tail positive words and generalized coinvariant algebras

Andrew Timothy Wilson, Brendon Rhoades

arxiv:1704.02618 v1 · 2017-04-09 · 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{3ETC5HIRI6DWYKNI3GQERFM4QL}

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	2026-05-18T00:46:44.956284Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d9262e9d1147876c29a8d9a048959c82de4525168383eb3733188e43bac0eada

Aliases

arxiv: 1704.02618 · arxiv_version: 1704.02618v1 · doi: 10.48550/arxiv.1704.02618 · pith_short_12: 3ETC5HIRI6DW · pith_short_16: 3ETC5HIRI6DWYKNI · pith_short_8: 3ETC5HIR

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/3ETC5HIRI6DWYKNI3GQERFM4QL \
  | 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: d9262e9d1147876c29a8d9a048959c82de4525168383eb3733188e43bac0eada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93745e341dff1eea13716738111115ec1de3c22bbdb725e4eed6054e09a275f3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-04-09T15:37:35Z",
    "title_canon_sha256": "c25ae916a49371fc23bfcd3ed6d317f926aa64dcdf1c397ab7849040617df74e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02618",
    "kind": "arxiv",
    "version": 1
  }
}