Pith Number

pith:K44PLCPU

pith:2016:K44PLCPUQLZMDEKYIZLPWG4EQF

not attested not anchored not stored refs pending

Positive factorizations of symmetric mapping classes

Keiko Kawamuro, Tetsuya Ito

arxiv:1610.01122 v2 · 2016-10-04 · 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{K44PLCPUQLZMDEKYIZLPWG4EQF}

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	2026-05-18T00:32:36.404846Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5738f589f482f2c191584656fb1b848148ec88a1d0cd7ec206ded2a80f82b43d

Aliases

arxiv: 1610.01122 · arxiv_version: 1610.01122v2 · doi: 10.48550/arxiv.1610.01122 · pith_short_12: K44PLCPUQLZM · pith_short_16: K44PLCPUQLZMDEKY · pith_short_8: K44PLCPU

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/K44PLCPUQLZMDEKYIZLPWG4EQF \
  | 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: 5738f589f482f2c191584656fb1b848148ec88a1d0cd7ec206ded2a80f82b43d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8369e2ebeb2cdc6dc82919209142f38f077ee7268f2d308ce155ab6eaa058627",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-04T18:43:29Z",
    "title_canon_sha256": "df0cab59dbdaaa5e876b89ef999c74b85eae94e5702718f0ebd7e36bd1c688ae"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.01122",
    "kind": "arxiv",
    "version": 2
  }
}