Pith Number

pith:2KYCIGEB

pith:2014:2KYCIGEBEHEPQTB6Y4GARKRRKM

not attested not anchored not stored refs pending

The pseudo-Anosov and conjugacy problems are in $\textbf{NP} \cap \textbf{co-NP}$

Mark C. Bell

arxiv:1410.1358 v3 · 2014-10-06 · 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{2KYCIGEBEHEPQTB6Y4GARKRRKM}

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	2026-05-18T01:15:59.042355Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2b024188121c8f84c3ec70c08aa31531ed07549ed75c7f362465606ac708956

Aliases

arxiv: 1410.1358 · arxiv_version: 1410.1358v3 · doi: 10.48550/arxiv.1410.1358 · pith_short_12: 2KYCIGEBEHEP · pith_short_16: 2KYCIGEBEHEPQTB6 · pith_short_8: 2KYCIGEB

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/2KYCIGEBEHEPQTB6Y4GARKRRKM \
  | 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: d2b024188121c8f84c3ec70c08aa31531ed07549ed75c7f362465606ac708956

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a466ddc121388c872a663eb0950001447adff1977371d76500ee32625002a12",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-10-06T12:54:17Z",
    "title_canon_sha256": "2facb1834e1bef20e192c73b3a0f903384e38d6aef879b06ebc82c6018b6a3bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.1358",
    "kind": "arxiv",
    "version": 3
  }
}