Pith Number

pith:6M2BGH5C

pith:2012:6M2BGH5CPP2VVSEQZCPFXK52LV

not attested not anchored not stored refs pending

Cylinders, multi-cylinders and the induced action of $Aut(F_n)$

Fedaa Ibrahim

arxiv:1211.2347 v1 · 2012-11-10 · 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{6M2BGH5CPP2VVSEQZCPFXK52LV}

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	2026-05-18T03:41:03.681781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f334131fa27bf55ac890c89e5babba5d65e34dd22145daad6f1cab7e6f89a01d

Aliases

arxiv: 1211.2347 · arxiv_version: 1211.2347v1 · doi: 10.48550/arxiv.1211.2347 · pith_short_12: 6M2BGH5CPP2V · pith_short_16: 6M2BGH5CPP2VVSEQ · pith_short_8: 6M2BGH5C

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/6M2BGH5CPP2VVSEQZCPFXK52LV \
  | 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: f334131fa27bf55ac890c89e5babba5d65e34dd22145daad6f1cab7e6f89a01d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6103eada8ac7d8d905cb39e82fd1b68a4a7b917efda7aea6c4707ff91a1b4b88",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-11-10T20:23:11Z",
    "title_canon_sha256": "085c195d8ac691e526d7f0c164a0f3f7bfc1deb38fe24fc1eb2bbabba409ebff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2347",
    "kind": "arxiv",
    "version": 1
  }
}