Pith Number

pith:LWVNSSXV

pith:2019:LWVNSSXVJNXRA4KLQUO7R7LSX3

not attested not anchored not stored refs pending

Mapping class groups of highly connected $(4k+2)$-manifolds

Manuel Krannich

arxiv:1902.10097 v2 · 2019-02-26 · 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{LWVNSSXVJNXRA4KLQUO7R7LSX3}

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	2026-07-05T03:55:23.710446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5daad94af54b6f10714b851df8fd72bedeaf54d108dd52b6bcdc0f475e608173

Aliases

arxiv: 1902.10097 · arxiv_version: 1902.10097v2 · doi: 10.48550/arxiv.1902.10097 · pith_short_12: LWVNSSXVJNXR · pith_short_16: LWVNSSXVJNXRA4KL · pith_short_8: LWVNSSXV

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/LWVNSSXVJNXRA4KLQUO7R7LSX3 \
  | 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: 5daad94af54b6f10714b851df8fd72bedeaf54d108dd52b6bcdc0f475e608173

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b8e61f945b95d29824d9224218346dd0543ceb87b536d6e11f3b30ab09bbe68",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-02-26T18:28:52Z",
    "title_canon_sha256": "809f907344f79cf129c197b5411a4bb8043cb0496e32d9a7c36cef1222b8e64e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.10097",
    "kind": "arxiv",
    "version": 2
  }
}