Pith Number

pith:XUI6T2SC

pith:2013:XUI6T2SCWQK6R2E3SDADTERPCU

not attested not anchored not stored refs pending

Coset intersection graphs for groups

Jack Button, Mariano Zeron-Medina Laris, Maurice Chiodo

arxiv:1304.6111 v1 · 2013-04-22 · math.GR · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUI6T2SCWQK6R2E3SDADTERPCU}

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	2026-05-18T01:01:49.737603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd11e9ea42b415e8e89b90c039922f151b88a5abc5fc5ff8683ebafa1d0f90d3

Aliases

arxiv: 1304.6111 · arxiv_version: 1304.6111v1 · doi: 10.48550/arxiv.1304.6111 · pith_short_12: XUI6T2SCWQK6 · pith_short_16: XUI6T2SCWQK6R2E3 · pith_short_8: XUI6T2SC

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/XUI6T2SCWQK6R2E3SDADTERPCU \
  | 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: bd11e9ea42b415e8e89b90c039922f151b88a5abc5fc5ff8683ebafa1d0f90d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ed591c58e06ef31fd2d5fd1f0baee3fad36f3c63e10eacc74cb72f1bf6bd84c4",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-04-22T21:24:36Z",
    "title_canon_sha256": "0a9c963288df1078fc19fa64f02724a3ec9c7e50e3f42cd8b588b0ba22233011"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.6111",
    "kind": "arxiv",
    "version": 1
  }
}