Pith Number

pith:53UBTY7Q

pith:2011:53UBTY7QPRBLPPRJEH7HOKQMRK

not attested not anchored not stored refs pending

On conjugations of circle homeomorphisms with two break points

Akhtam Dzhalilov, Dieter Mayer, Habibulla Akhadkulov

arxiv:1110.6125 v2 · 2011-10-27 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{53UBTY7QPRBLPPRJEH7HOKQMRK}

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	2026-05-17T23:53:19.149422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eee819e3f07c42b7be2921fe772a0c8aad12a372f6cb34bb635f7bda7e7c3cf5

Aliases

arxiv: 1110.6125 · arxiv_version: 1110.6125v2 · doi: 10.48550/arxiv.1110.6125 · pith_short_12: 53UBTY7QPRBL · pith_short_16: 53UBTY7QPRBLPPRJ · pith_short_8: 53UBTY7Q

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/53UBTY7QPRBLPPRJEH7HOKQMRK \
  | 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: eee819e3f07c42b7be2921fe772a0c8aad12a372f6cb34bb635f7bda7e7c3cf5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5a6d3ad693a065cdb272871233493a13923d25ad4cb8f423a581a0ac185ea0c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-10-27T15:51:37Z",
    "title_canon_sha256": "9864b57a04bf90b29ecf253f4bd6d92a3a7366063a498a1d69e6c51dbb583480"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.6125",
    "kind": "arxiv",
    "version": 2
  }
}