Pith Number

pith:Z22IN2TI

pith:2013:Z22IN2TI73CQQ2D5HBSGDGX2B4

not attested not anchored not stored refs pending

Diffeomorphism groups of balls and spheres

Kathryn Mann

arxiv:1304.2670 v1 · 2013-04-09 · math.GT · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z22IN2TI73CQQ2D5HBSGDGX2B4}

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	2026-05-18T03:28:28.786211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ceb486ea68fec508687d3864619afa0f049d452bf8525afc2a032b0d99d9ad2d

Aliases

arxiv: 1304.2670 · arxiv_version: 1304.2670v1 · doi: 10.48550/arxiv.1304.2670 · pith_short_12: Z22IN2TI73CQ · pith_short_16: Z22IN2TI73CQQ2D5 · pith_short_8: Z22IN2TI

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/Z22IN2TI73CQQ2D5HBSGDGX2B4 \
  | 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: ceb486ea68fec508687d3864619afa0f049d452bf8525afc2a032b0d99d9ad2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecb34b66b9c11c020dcb16a3ee632d3ee10c285cde551eab92a6f4f09dd83477",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-04-09T17:23:15Z",
    "title_canon_sha256": "4c8c5b454a00496e3871d1d263d06ff7f9c6123b0cd269d71cd0e5d0d4b19961"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.2670",
    "kind": "arxiv",
    "version": 1
  }
}