Pith Number

pith:DKTXH526

pith:2013:DKTXH526WTGFERJMQCMRRKFMAD

not attested not anchored not stored refs pending

An effective algebraic detection of the Nielsen--Thurston classification of mapping classes

Johanna Mangahas, Thomas Koberda

arxiv:1312.6141 v2 · 2013-12-20 · 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{DKTXH526WTGFERJMQCMRRKFMAD}

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	2026-05-18T02:47:40.732233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1aa773f75eb4cc52452c809918a8ac00d70ae9e8e22851c48b6fe9f4bf8c03f4

Aliases

arxiv: 1312.6141 · arxiv_version: 1312.6141v2 · doi: 10.48550/arxiv.1312.6141 · pith_short_12: DKTXH526WTGF · pith_short_16: DKTXH526WTGFERJM · pith_short_8: DKTXH526

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/DKTXH526WTGFERJMQCMRRKFMAD \
  | 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: 1aa773f75eb4cc52452c809918a8ac00d70ae9e8e22851c48b6fe9f4bf8c03f4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85cb482304cb0c9e5bf868b5ea006e71674b7c52048c4cd25fe119fef1805d5e",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-12-20T21:19:30Z",
    "title_canon_sha256": "5edf485c0daed3904c0c063f97e409fcb82625111ef1ae25fc080f9981899415"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.6141",
    "kind": "arxiv",
    "version": 2
  }
}