Pith Number

pith:XPM6XSBN

pith:2016:XPM6XSBN2V7IOIEYNKCLB3NEIZ

not attested not anchored not stored refs pending

Newton maps of complex exponential functions and parabolic surgery

Khudoyor Mamayusupov

arxiv:1612.08643 v2 · 2016-12-27 · 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{XPM6XSBN2V7IOIEYNKCLB3NEIZ}

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	2026-05-18T00:14:06.930425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbd9ebc82dd57e8720986a84b0eda446653871657290b3c0bebd341edf1d7407

Aliases

arxiv: 1612.08643 · arxiv_version: 1612.08643v2 · doi: 10.48550/arxiv.1612.08643 · pith_short_12: XPM6XSBN2V7I · pith_short_16: XPM6XSBN2V7IOIEY · pith_short_8: XPM6XSBN

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/XPM6XSBN2V7IOIEYNKCLB3NEIZ \
  | 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: bbd9ebc82dd57e8720986a84b0eda446653871657290b3c0bebd341edf1d7407

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "09f75d82b705bc28051905419994761a7826a8f124d97761406d317010821873",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2016-12-27T14:29:54Z",
    "title_canon_sha256": "5455ad1e5353d4749fb9d2bc97148ae750e7ecf82738e6dfd922b3cdd7d498da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08643",
    "kind": "arxiv",
    "version": 2
  }
}