Pith Number

pith:YTYCZ4GO

pith:2014:YTYCZ4GOMAX6PC6RCMKKZ4YXFF

not attested not anchored not stored refs pending

Graph-wreath products and finiteness conditions

Armando Martino, Peter H. Kropholler

arxiv:1407.0302 v5 · 2014-07-01 · 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{YTYCZ4GOMAX6PC6RCMKKZ4YXFF}

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	2026-05-18T01:36:01.960089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4f02cf0ce602fe78bd11314acf31729698503941f132551980ec3957be1a54b

Aliases

arxiv: 1407.0302 · arxiv_version: 1407.0302v5 · doi: 10.48550/arxiv.1407.0302 · pith_short_12: YTYCZ4GOMAX6 · pith_short_16: YTYCZ4GOMAX6PC6R · pith_short_8: YTYCZ4GO

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/YTYCZ4GOMAX6PC6RCMKKZ4YXFF \
  | 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: c4f02cf0ce602fe78bd11314acf31729698503941f132551980ec3957be1a54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b97e0bcbe3a4e289562d5468974ad5f0508d4ef84355f3ab2db5ac90f732964f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-07-01T16:16:32Z",
    "title_canon_sha256": "7794da7f08235a5e034f6541e4c4794e4d79684ea18fa5bbd6915bd64b9ab605"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0302",
    "kind": "arxiv",
    "version": 5
  }
}