Pith Number

pith:QAKMBYII

pith:2025:QAKMBYIIO2YQOIYEQQPDH2346X

not attested not anchored not stored refs pending

Johnson homomorphisms and the second rational cohomology of handlebody Torelli groups

Annie Holden

arxiv:2509.03742 v1 · 2025-09-03 · 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{QAKMBYIIO2YQOIYEQQPDH2346X}

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	2026-07-05T12:04:45.084202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8014c0e10876b1072304841e33eb7cf5dda7a30efe3d4a1efbecf9fe81d94092

Aliases

arxiv: 2509.03742 · arxiv_version: 2509.03742v1 · doi: 10.48550/arxiv.2509.03742 · pith_short_12: QAKMBYIIO2YQ · pith_short_16: QAKMBYIIO2YQOIYE · pith_short_8: QAKMBYII

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/QAKMBYIIO2YQOIYEQQPDH2346X \
  | 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: 8014c0e10876b1072304841e33eb7cf5dda7a30efe3d4a1efbecf9fe81d94092

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86b24948adb081d06ff63964e880b926a3d44ed11636ae2233cebabbd026d5b4",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-09-03T22:01:59Z",
    "title_canon_sha256": "3f8f07dd999b03e0d5dec50615a5aa080c4a8c4547310a1e6a134a227d7caab5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03742",
    "kind": "arxiv",
    "version": 1
  }
}