Pith Number

pith:3WJLYEOL

pith:2015:3WJLYEOLORKSX5QPLJNS4WBRHX

not attested not anchored not stored refs pending

Homology stability for symmetric diffeomorphism and mapping class groups

Ulrike Tillmann

arxiv:1510.07564 v1 · 2015-10-26 · math.AT · 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{3WJLYEOLORKSX5QPLJNS4WBRHX}

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	2026-05-18T01:24:17.912412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd92bc11cb74552bf60f5a5b2e58313de11ed076a2d94b4f44bb250e67388abb

Aliases

arxiv: 1510.07564 · arxiv_version: 1510.07564v1 · doi: 10.48550/arxiv.1510.07564 · pith_short_12: 3WJLYEOLORKS · pith_short_16: 3WJLYEOLORKSX5QP · pith_short_8: 3WJLYEOL

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/3WJLYEOLORKSX5QPLJNS4WBRHX \
  | 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: dd92bc11cb74552bf60f5a5b2e58313de11ed076a2d94b4f44bb250e67388abb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d6a75444f2ca624aa67450b41894ee714657bb289fd7bff75c4453e3ecef20a8",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-10-26T17:46:24Z",
    "title_canon_sha256": "773451f756a5c30322f8a5ab81e268b23938b61d3ac013076bbcbb64a3259895"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07564",
    "kind": "arxiv",
    "version": 1
  }
}