Pith Number

pith:YVWTSFR4

pith:2016:YVWTSFR4L6EYIXBDSVOWQEJVVQ

not attested not anchored not stored refs pending

Conway's groupoid and its relatives

Cheryl E. Praeger, Jason Semeraro, Neil I. Gillespie, Nick Gill

arxiv:1604.04429 v1 · 2016-04-15 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YVWTSFR4L6EYIXBDSVOWQEJVVQ}

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	2026-05-18T01:17:04.089678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56d39163c5f89845c23955d681135ac187000aac12f5c10d40f63e58754446b

Aliases

arxiv: 1604.04429 · arxiv_version: 1604.04429v1 · doi: 10.48550/arxiv.1604.04429 · pith_short_12: YVWTSFR4L6EY · pith_short_16: YVWTSFR4L6EYIXBD · pith_short_8: YVWTSFR4

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/YVWTSFR4L6EYIXBDSVOWQEJVVQ \
  | 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: c56d39163c5f89845c23955d681135ac187000aac12f5c10d40f63e58754446b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2eb0be90bb5933015c5c694a24d86b5405b461031745c5532ce28502ca9316d2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-04-15T11:08:59Z",
    "title_canon_sha256": "eda10f19c2833603eb354c326e397e0007e9c4eeac053977534d19c8bbed950b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04429",
    "kind": "arxiv",
    "version": 1
  }
}