Pith Number

pith:WUC5GA2J

pith:2011:WUC5GA2JZ37LTSYA4ZY52NDHJR

not attested not anchored not stored refs pending

The homology of surface diffeomorphism groups and a question of Morita

Jonathan Bowden

arxiv:1102.4283 v1 · 2011-02-21 · 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{WUC5GA2JZ37LTSYA4ZY52NDHJR}

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	2026-05-18T03:58:51.527295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b505d30349cefeb9cb00e671dd34674c4c932c04c0b9fd3d38f97bdfb15da8a4

Aliases

arxiv: 1102.4283 · arxiv_version: 1102.4283v1 · doi: 10.48550/arxiv.1102.4283 · pith_short_12: WUC5GA2JZ37L · pith_short_16: WUC5GA2JZ37LTSYA · pith_short_8: WUC5GA2J

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/WUC5GA2JZ37LTSYA4ZY52NDHJR \
  | 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: b505d30349cefeb9cb00e671dd34674c4c932c04c0b9fd3d38f97bdfb15da8a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5efddfe33abf2a7243331fcfc9fdd38c7e44d39437cc8f7c259956b460ae35e",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-21T17:16:21Z",
    "title_canon_sha256": "05f7d2c1c665d02db7de5c87da1b9c87189be8a3036d9a8584fe5a0dcd6856fb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.4283",
    "kind": "arxiv",
    "version": 1
  }
}