Pith Number

pith:6VLN3AEJ

pith:2010:6VLN3AEJBSFZ426OIHDQS35IEI

not attested not anchored not stored refs pending

The framed little 2-discs operad and diffeomorphisms of handlebodies

Jeffrey Giansiracusa

arxiv:1008.3272 v2 · 2010-08-19 · math.GT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6VLN3AEJBSFZ426OIHDQS35IEI}

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	2026-05-18T02:58:01.899997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f556dd80890c8b9e6bce41c7096fa8221b2977dc1f0fec3155e72bcc160fcf12

Aliases

arxiv: 1008.3272 · arxiv_version: 1008.3272v2 · doi: 10.48550/arxiv.1008.3272 · pith_short_12: 6VLN3AEJBSFZ · pith_short_16: 6VLN3AEJBSFZ426O · pith_short_8: 6VLN3AEJ

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/6VLN3AEJBSFZ426OIHDQS35IEI \
  | 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: f556dd80890c8b9e6bce41c7096fa8221b2977dc1f0fec3155e72bcc160fcf12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e3f188560b4a36d77c389eb576a9ac06a971016483c295fbbf3c250a3f4b506",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-08-19T11:02:48Z",
    "title_canon_sha256": "2ed636e8cfd4da8b0ac1d6809279b4f0760ee74c2ce29725f8e673dfa03c91f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.3272",
    "kind": "arxiv",
    "version": 2
  }
}