Pith Number

pith:EKKLN5LQ

pith:2013:EKKLN5LQ7SJEAR5OIMIO564A5X

not attested not anchored not stored refs pending

Applications of weak attraction theory in Out($F_n$)

Pritam Ghosh

arxiv:1306.6049 v2 · 2013-06-25 · 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{EKKLN5LQ7SJEAR5OIMIO564A5X}

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	2026-05-18T01:26:03.202452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2294b6f570fc924047ae4310eefb80edcfed539d8ed4e8378db8197016e6f289

Aliases

arxiv: 1306.6049 · arxiv_version: 1306.6049v2 · doi: 10.48550/arxiv.1306.6049 · pith_short_12: EKKLN5LQ7SJE · pith_short_16: EKKLN5LQ7SJEAR5O · pith_short_8: EKKLN5LQ

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/EKKLN5LQ7SJEAR5OIMIO564A5X \
  | 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: 2294b6f570fc924047ae4310eefb80edcfed539d8ed4e8378db8197016e6f289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "163210565277d0dbd649a23fa6f49a2f47e08cdea90548d326bdc5282b63449d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-06-25T18:05:25Z",
    "title_canon_sha256": "abd2e97a4e9c0f293765e1b14a26f0d5ebab561d5c5fd8e7f1d8d67632353af0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6049",
    "kind": "arxiv",
    "version": 2
  }
}