Pith Number

pith:YGQBHXCF

pith:2013:YGQBHXCFPXPJNSU3KSNEJM5LSM

not attested not anchored not stored refs pending

Translation numbers define generators of $F_k^+\to {\text{\rm Homeo}_+}(\mathbb{S}^1)$

Anton Gorodetski, Denis Volk, Tatiana Golenishcheva-Kutuzova, Victor Kleptsyn

arxiv:1306.5522 v1 · 2013-06-24 · math.DS · 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{YGQBHXCFPXPJNSU3KSNEJM5LSM}

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	2026-05-18T01:11:00.614685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1a013dc457dde96ca9b549a44b3ab9313675a38b1a27d5e4da8b3727aa53667

Aliases

arxiv: 1306.5522 · arxiv_version: 1306.5522v1 · doi: 10.48550/arxiv.1306.5522 · pith_short_12: YGQBHXCFPXPJ · pith_short_16: YGQBHXCFPXPJNSU3 · pith_short_8: YGQBHXCF

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/YGQBHXCFPXPJNSU3KSNEJM5LSM \
  | 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: c1a013dc457dde96ca9b549a44b3ab9313675a38b1a27d5e4da8b3727aa53667

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e64364a2556617d818bf94a20f771321cfa8c17059498d0f4948ee6708dcde2d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-06-24T07:16:16Z",
    "title_canon_sha256": "22b1e788634e61414b528bee9c7c5dde1a49bec7309123385e92f7ada834f97c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.5522",
    "kind": "arxiv",
    "version": 1
  }
}