Pith Number

pith:IPPDDEIJ

pith:2015:IPPDDEIJBBBWDR5JQP3V7MZ33T

not attested not anchored not stored refs pending

Uncountably many groups of type $FP$

Ian J. Leary

arxiv:1512.06609 v4 · 2015-12-21 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IPPDDEIJBBBWDR5JQP3V7MZ33T}

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	2026-05-18T00:17:27.365007Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43de319109084361c7a983f75fb33bdce5e9fd233747a99340f89e0861f56d0c

Aliases

arxiv: 1512.06609 · arxiv_version: 1512.06609v4 · doi: 10.48550/arxiv.1512.06609 · pith_short_12: IPPDDEIJBBBW · pith_short_16: IPPDDEIJBBBWDR5J · pith_short_8: IPPDDEIJ

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/IPPDDEIJBBBWDR5JQP3V7MZ33T \
  | 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: 43de319109084361c7a983f75fb33bdce5e9fd233747a99340f89e0861f56d0c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fba66d3cf491ee7a7dac05a08e4b351761bc20b21465e3215b512de5f0dcd1c4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-12-21T12:45:14Z",
    "title_canon_sha256": "f678f2f490fc966f67450249b96afc168798d4ddc649c898a917870f56395657"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06609",
    "kind": "arxiv",
    "version": 4
  }
}