Pith Number

pith:QQJT7OR7

pith:2019:QQJT7OR7DA37DCVFNAKAGNQ4TS

not attested not anchored not stored refs pending

Quasi-homomorphisms on mapping class groups vanishing on a handlebody group

Jiajun Wang, Jiming Ma

arxiv:1907.03290 v1 · 2019-07-07 · 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{QQJT7OR7DA37DCVFNAKAGNQ4TS}

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	2026-05-17T23:41:16.657651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84133fba3f1837f18aa5681403361c9cb3518bc4282b6bd346f2d820244b3d44

Aliases

arxiv: 1907.03290 · arxiv_version: 1907.03290v1 · doi: 10.48550/arxiv.1907.03290 · pith_short_12: QQJT7OR7DA37 · pith_short_16: QQJT7OR7DA37DCVF · pith_short_8: QQJT7OR7

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/QQJT7OR7DA37DCVFNAKAGNQ4TS \
  | 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: 84133fba3f1837f18aa5681403361c9cb3518bc4282b6bd346f2d820244b3d44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea2047098b3843e3e0b2ca0129a101b86aed0af13976009f0ccb588f7463d89b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-07-07T13:41:31Z",
    "title_canon_sha256": "703477c2604acc832e4adb71634d9466a3fa05540baf15026ac15bdcfbef5090"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.03290",
    "kind": "arxiv",
    "version": 1
  }
}