Pith Number

pith:KXQXSN46

pith:2019:KXQXSN46NSVOZDLXHQEMYZQ2RU

not attested not anchored not stored refs pending

Braid groups, mapping class groups and their homology with twisted coefficients

Andrea Bianchi

arxiv:1901.08028 v2 · 2019-01-23 · 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{KXQXSN46NSVOZDLXHQEMYZQ2RU}

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	2026-05-17T23:55:26.750401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55e179379e6caaec8d773c08cc661a8d3d6f9fad0e1616f924a20c6488c0d8c3

Aliases

arxiv: 1901.08028 · arxiv_version: 1901.08028v2 · doi: 10.48550/arxiv.1901.08028 · pith_short_12: KXQXSN46NSVO · pith_short_16: KXQXSN46NSVOZDLX · pith_short_8: KXQXSN46

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/KXQXSN46NSVOZDLXHQEMYZQ2RU \
  | 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: 55e179379e6caaec8d773c08cc661a8d3d6f9fad0e1616f924a20c6488c0d8c3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5555911aeca7cf70a498216cd8874cf404e55f11615b5ee0aaef3449d13e1d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-01-23T18:02:36Z",
    "title_canon_sha256": "378d32daae7bf7511b65571e03717decd129413fb3012fd5ecc9ce5a6b8c9fc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.08028",
    "kind": "arxiv",
    "version": 2
  }
}