Pith Number

pith:XT2YNQ2O

pith:2016:XT2YNQ2O54GKAIKSLDJWFASFGW

not attested not anchored not stored refs pending

Exotic mapping class group actions on the circle

Sang-hyun Kim, Thomas Koberda

arxiv:1603.02098 v3 · 2016-03-07 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XT2YNQ2O54GKAIKSLDJWFASFGW}

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	2026-05-18T01:02:13.077696Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bcf586c34eef0ca0215258d36282453590a57c428ab25bf49500c97f5b098530

Aliases

arxiv: 1603.02098 · arxiv_version: 1603.02098v3 · doi: 10.48550/arxiv.1603.02098 · pith_short_12: XT2YNQ2O54GK · pith_short_16: XT2YNQ2O54GKAIKS · pith_short_8: XT2YNQ2O

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/XT2YNQ2O54GKAIKSLDJWFASFGW \
  | 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: bcf586c34eef0ca0215258d36282453590a57c428ab25bf49500c97f5b098530

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be445690dc308ecd76c465a4d8053d16e75b1eceb43c36e50de837d1f2eb5a1b",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-07T15:04:47Z",
    "title_canon_sha256": "ce81f890a0473d207dc006538e2d84e09d2b18e15f97147564161dba0040f399"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02098",
    "kind": "arxiv",
    "version": 3
  }
}