Pith Number

pith:SH5QISWR

pith:2013:SH5QISWRCRQVQ3NH6PEI5DXXQI

not attested not anchored not stored refs pending

Subgroup decomposition in Out(F_n): Introduction and Research Announcement

Lee Mosher, Michael Handel

arxiv:1302.2681 v2 · 2013-02-12 · 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{SH5QISWRCRQVQ3NH6PEI5DXXQI}

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	2026-05-18T03:20:20.419484Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91fb044ad11461586da7f3c88e8ef78211a91b5b09c3cecb3c01d3f4be62b739

Aliases

arxiv: 1302.2681 · arxiv_version: 1302.2681v2 · doi: 10.48550/arxiv.1302.2681 · pith_short_12: SH5QISWRCRQV · pith_short_16: SH5QISWRCRQVQ3NH · pith_short_8: SH5QISWR

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/SH5QISWRCRQVQ3NH6PEI5DXXQI \
  | 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: 91fb044ad11461586da7f3c88e8ef78211a91b5b09c3cecb3c01d3f4be62b739

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f54f2776ffed76b4d5b63c11b596bc6e2fdd895cbf288dbe6eb7412a14540796",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-12T01:15:42Z",
    "title_canon_sha256": "881b72ed8633a5cbb0aa8a8b3379bf7ebd20c1ed51b3df41e9a5f075361c169f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2681",
    "kind": "arxiv",
    "version": 2
  }
}