Pith Number

pith:2XUYN5MA

pith:2016:2XUYN5MAOB56XN6SVJSMN2XMD2

not attested not anchored not stored refs pending

Basic Category Theory

Tom Leinster

arxiv:1612.09375 v2 · 2016-12-30 · math.CT · math.AT · math.LO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2XUYN5MAOB56XN6SVJSMN2XMD2}

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.

Cited by

1 paper in Pith

Counting Votes with Multisets

Receipt and verification

First computed	2026-07-05T11:59:01.334383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5e986f580707bebb7d2aa64c6eaec1eb03097687ccec715963b6ac6c8ee5590

Aliases

arxiv: 1612.09375 · arxiv_version: 1612.09375v2 · doi: 10.48550/arxiv.1612.09375 · pith_short_12: 2XUYN5MAOB56 · pith_short_16: 2XUYN5MAOB56XN6S · pith_short_8: 2XUYN5MA

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/2XUYN5MAOB56XN6SVJSMN2XMD2 \
  | 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: d5e986f580707bebb7d2aa64c6eaec1eb03097687ccec715963b6ac6c8ee5590

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dea7f230d5bacc69e7e297aa4ca9675edf9c0c624fb68d71459cd2300beb25e0",
    "cross_cats_sorted": [
      "math.AT",
      "math.LO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-12-30T03:02:01Z",
    "title_canon_sha256": "65eaf97ddc9bd31de48f83c4b4be4b7d6d025988d3cf6547493d92b8dd4ecf4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09375",
    "kind": "arxiv",
    "version": 2
  }
}